Question

A sphere has a volume of 150 cubic inches. find the volume of a cylinder and a cone that both have the same radius and the same height as the

sphere

Answer 1

Volume of a cylinder = 225.80 in³ (Approx)

Volume of cone = 75.29 in³ (Approx)

Explanation:

Given:

Volume of sphere = 150 in³

Find:

Volume of a cylinder and a cone

Computation:

Volume of sphere = [4/3]πr³

150 = [4/3][22/7]r³

r = 3.3 in (Approx)

Height = 2(3.3) = 6.6

Volume of a cylinder = πr²h

Volume of a cylinder = [22/7]3.3²(6.6)

Volume of a cylinder = 225.80 in³ (Approx)

Volume of cone = [1/3]πr²h

Volume of cone = 75.29 in³ (Approx)