Multiple choice

Volume of a bucket 84 cm high, diameter of top as 40 cm and radius of bottom as 10 cm is

  1. 30.4 1t

  2. 61.6 1t

  3. 30.8 1t

  4. 60 1t

Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

The bucket forms a frustum of a cone with height h = 84 cm, lower radius r = 10 cm, and upper radius R = 20 cm. Using the frustum volume formula V = (1/3) * pi * h * (R^2 + r^2 + R * r), we get V = (1/3) * pi * 84 * (20^2 + 10^2 + 20 * 10). Simplifying this yields 28 * pi * 700, which equals 19600 * pi, resulting in approximately 61.6 liters.