Chapter 11: Areas Related to Circles

Solution

C = 2×22/7×7 = 44 cm. A = 22/7×49 = 154 cm².

Solution

2πr = 44 → r = 7 cm. Area = 22/7 × 49 = 154 cm².

Solution

A = (60/360)×3.14×36 = (1/6)×113.04 = 18.84 cm².

Solution

Arc = (60/360)×2×22/7×21 = (1/6)×132 = 22 cm.

Solution

Perimeter = 2π(28) = 2×22/7×28 = 176 cm. Side = 176/4 = 44 cm.

Solution

(θ/360°) = 1/6 → θ = 60°.

Solution

πR² = π(64)+π(36) = 100π → R = 10 cm.

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 4 \times (4 + 18) = 552.64\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 7 \times (7 + 23) = 1318.8\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 13 \times (13 + 18) = 2530.84\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 3 \times (3 + 23) = 489.84\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 5 \times (5 + 30) = 1099.0\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 2 \times (2 + 8) = 125.6\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 8 \times (8 + 25) = 1657.92\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 15 \times (15 + 14) = 2731.8\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 8 \times (8 + 19) = 1356.48\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 11 \times (11 + 10) = 1450.68\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 9 \times (9 + 15) = 1356.48\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 13 \times (13 + 19) = 2612.48\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 5 \times (5 + 15) = 628.0\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 11 \times (11 + 25) = 2486.88\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 6 \times (6 + 26) = 1205.76\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 15 \times (15 + 9) = 2260.8\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 4 \times (4 + 25) = 728.48\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 2 \times (2 + 28) = 376.8\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 5 \times (5 + 11) = 502.4\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 6 \times (6 + 23) = 1092.72\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 10 \times (10 + 20) = 1884.0\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 8 \times (8 + 21) = 1456.96\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 11 \times (11 + 19) = 2072.4\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 2 \times (2 + 20) = 276.32\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 5 \times (5 + 23) = 879.2\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 14 \times (14 + 9) = 2022.16\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 6 \times (6 + 10) = 602.88\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 9 \times (9 + 12) = 1186.92\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 14 \times (14 + 5) = 1670.48\) cm\(^2\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 9^2 \times 7 = 593.46\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 5^2 \times 13 = 340.17\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 4^2 \times 6 = 100.48\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 10^2 \times 14 = 1465.33\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 2^2 \times 14 = 58.61\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 5^2 \times 11 = 287.83\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 2^2 \times 8 = 33.49\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 12^2 \times 17 = 2562.24\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 12^2 \times 19 = 2863.68\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 4^2 \times 15 = 251.2\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 6^2 \times 17 = 640.56\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 7^2 \times 11 = 564.15\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 8^2 \times 15 = 1004.8\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 3^2 \times 6 = 56.52\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 9^2 \times 15 = 1271.7\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 8^2 \times 14 = 937.81\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 3^2 \times 20 = 188.4\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 5^2 \times 7 = 183.17\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 2^2 \times 18 = 75.36\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 11^2 \times 6 = 759.88\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 11^2 \times 11 = 1393.11\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 3^2 \times 18 = 169.56\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 12^2 \times 9 = 1356.48\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 8^2 \times 7 = 468.91\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 3^2 \times 12 = 113.04\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 6^2 \times 16 = 602.88\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 11^2 \times 20 = 2532.93\) cm\(^3\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 8^2 = 803.84\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 15^2 = 2826.0\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 9^2 = 1017.36\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 5^2 = 314.0\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 7^2 = 615.44\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 10^2 = 1256.0\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 2^2 = 50.24\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 6^2 = 452.16\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 13^2 = 2122.64\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 11^2 = 1519.76\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 4^2 = 200.96\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 12^2 = 1808.64\) cm\(^2\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 14^2 = 2461.76\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 4 \times (4 + 14) = 452.16\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 7 \times (7 + 15) = 967.12\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 4 \times (4 + 6) = 251.2\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 6 \times (6 + 16) = 828.96\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 5 \times (5 + 9) = 439.6\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 10 \times (10 + 13) = 1444.4\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 4 \times (4 + 22) = 653.12\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 11 \times (11 + 7) = 1243.44\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 5 \times (5 + 18) = 722.2\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 8 \times (8 + 26) = 1708.16\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 5 \times (5 + 21) = 816.4\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 3 \times (3 + 14) = 320.28\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 12 \times (12 + 16) = 2110.08\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 6 \times (6 + 15) = 791.28\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 11 \times (11 + 9) = 1381.6\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 12 \times (12 + 24) = 2712.96\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 2 \times (2 + 18) = 251.2\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 9 \times (9 + 30) = 2204.28\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 15 \times (15 + 19) = 3202.8\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 8 \times (8 + 23) = 1557.44\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 14 \times (14 + 12) = 2285.92\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 7 \times (7 + 17) = 1055.04\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 13 \times (13 + 14) = 2204.28\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 14 \times (14 + 29) = 3780.56\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 13 \times (13 + 11) = 1959.36\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 3 \times (3 + 18) = 395.64\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 9 \times (9 + 11) = 1130.4\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 2 \times (2 + 29) = 389.36\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 7 \times (7 + 26) = 1450.68\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 11 \times (11 + 27) = 2625.04\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 12 \times (12 + 28) = 3014.4\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 5 \times (5 + 16) = 659.4\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 5 \times (5 + 28) = 1036.2\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 10 \times (10 + 25) = 2198.0\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 12 \times (12 + 9) = 1582.56\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 8 \times (8 + 11) = 954.56\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 5 \times (5 + 7) = 376.8\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 5 \times (5 + 26) = 973.4\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 15 \times (15 + 29) = 4144.8\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 11 \times (11 + 6) = 1174.36\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 13 \times (13 + 9) = 1796.08\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 11 \times (11 + 21) = 2210.56\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 11 \times (11 + 15) = 1796.08\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 11 \times (11 + 14) = 1727.0\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 3 \times (3 + 8) = 207.24\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 15 \times (15 + 20) = 3297.0\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 10 \times (10 + 17) = 1695.6\) cm\(^2\)

Solution

TSA of cylinder \(= 2\pi r(r + h)\)

\(= 2 \times 3.14 \times 3 \times (3 + 7) = 188.4\) cm\(^2\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 12^2 \times 6 = 904.32\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 2^2 \times 13 = 54.43\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 12^2 \times 5 = 753.6\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 5^2 \times 18 = 471.0\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 12^2 \times 13 = 1959.36\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 12^2 \times 10 = 1507.2\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 11^2 \times 9 = 1139.82\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 9^2 \times 10 = 847.8\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 3^2 \times 11 = 103.62\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 10^2 \times 15 = 1570.0\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 11^2 \times 18 = 2279.64\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 10^2 \times 5 = 523.33\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 4^2 \times 18 = 301.44\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 9^2 \times 14 = 1186.92\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 6^2 \times 10 = 376.8\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 8^2 \times 16 = 1071.79\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 7^2 \times 16 = 820.59\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 5^2 \times 19 = 497.17\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 2^2 \times 19 = 79.55\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 8^2 \times 8 = 535.89\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 9^2 \times 9 = 763.02\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 7^2 \times 6 = 307.72\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 4^2 \times 13 = 217.71\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 5^2 \times 20 = 523.33\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 11^2 \times 8 = 1013.17\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 10^2 \times 20 = 2093.33\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 7^2 \times 8 = 410.29\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 3^2 \times 17 = 160.14\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 11^2 \times 7 = 886.53\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 9^2 \times 5 = 423.9\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 3^2 \times 19 = 178.98\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 5^2 \times 16 = 418.67\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 3^2 \times 14 = 131.88\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 3^2 \times 16 = 150.72\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 3^2 \times 8 = 75.36\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 6^2 \times 12 = 452.16\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 9^2 \times 13 = 1102.14\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 6^2 \times 5 = 188.4\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 9^2 \times 8 = 678.24\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 8^2 \times 18 = 1205.76\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 8^2 \times 11 = 736.85\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 2^2 \times 17 = 71.17\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 10^2 \times 8 = 837.33\) cm\(^3\)

Solution

Volume of cone \(= \frac{1}{3}\pi r^2 h\)

\(= \frac{1}{3} \times 3.14 \times 5^2 \times 5 = 130.83\) cm\(^3\)

Solution

Surface area of sphere \(= 4\pi r^2\)

\(= 4 \times 3.14 \times 3^2 = 113.04\) cm\(^2\)

Solution

Sector area = (90/360)×22/7×196 = (1/4)×616 = 154 cm².

Triangle area = ½×14×14 = 98 cm².

Segment = 154−98 = 56 cm².

Solution

Square area = 196 cm². Circle radius = 7 cm, area = 154 cm². Remaining = 196−154 = 42 cm².

Solution

Let me solve for a standard configuration: two semicircles of diameter 10.5 cm (r=5.25) are placed inside a circle of diameter 21 cm (r=10.5).

Big circle area = π(10.5)² = 346.5 cm².

Two semicircle areas = π(5.25)² = 86.625 cm².

Shaded = 346.5−86.625 = 259.875 cm² ≈ 259.88 cm².

Solution

Sector = (90/360)×3.14×100 = 78.5. Triangle = ½×10×10 = 50. Segment = 78.5−50 = 28.5 cm².

Solution

Triangle area = (√3/4)×144 = 36√3 ≈ 62.35 cm².

Each angle = 60°. Three sectors of 60° each with r = 6: total sector area = 3×(60/360)×π(36) = ½×36π = 18π ≈ 56.55.

Shaded ≈ 62.35−56.55 = 5.8 cm². Using π=22/7: 18×22/7 = 56.57. Shaded ≈ 5.78 cm².

Solution

Four quadrants = one full circle of radius 7. Area = 154 cm². Square = 196 cm². Shaded = 196−154 = 42 cm².

Solution

The horse grazes a quadrant (90°) of radius 5 m. Area = (90/360)×π×25 = (1/4)×25π = 25×22/(7×4) = 19.643 ≈ 19.625 m² (using π=3.14: 19.625).

Solution

Arc length = (120/360)×2×22/7×21 = 44 cm = circumference of cone base.

2πr = 44 → r = 7 cm. Slant height = 21 cm (radius of original circle).

CSA = πrl = 22/7×7×21 = 462 cm².

Solution

Angle in 5 min = 5/60×360° = 30°. Area = (30/360)×22/7×196 = (1/12)×616 = 51.33 cm².

Using π=22/7: (30/360)×(22/7)×196 = (1/12)×(22×28) = 616/12 = 51.33. Wait: let me recheck.

Actually 22/7 × 196 = 22×28 = 616. 616/12 = 51.33 cm².

Solution

Central angle per segment = 60°. One sector area = (60/360)×22/7×784 = 410.67 cm².

One equilateral triangle area = (√3/4)×28² = (1.7/4)×784 = 333.2 cm².

One segment = 410.67−333.2 = 77.47. Six segments = 464.8 cm².

Cost = 464.8×0.35 = Rs 162.68.

Solution

The largest equilateral triangle inscribed in circle of radius 32: side = 32√3.

Triangle area = (√3/4)(32√3)² = (√3/4)(3072) = 768√3 ≈ 1330 cm².

Circle area = π(1024) ≈ 3217 cm². Design area ≈ 3217−1330 = 1887 cm².

Solution

Sector = (120/360)×3.14×144 = 150.72 cm².

Triangle = ½×12²×sin120° = ½×144×(√3/2) = 36√3 = 62.28 cm².

Segment = 150.72−62.28 = 88.44 cm².

Solution

Semicircle areas: π(1.5)²/2 + π(2)²/2 = π(2.25+4)/2 = 6.25π/2.

Semicircle on hypotenuse: π(2.5)²/2 = 6.25π/2.

Triangle area = 6 cm². So: sum of two smaller = 6.25π/2. Hypotenuse semicircle − triangle = 6.25π/2 − 6.

These are NOT equal unless we include the triangle area. The correct statement: semicircles on shorter sides + triangle = semicircle on hypotenuse. This follows from Pythagoras: a²+b² = c² → πa²/8+πb²/8 = πc²/8.