Question

A cylinder has a radius of 3 inches and a height of 4 3/4 inches. A sphere has a radius of 3 inches. What is the difference between the volumes, to thr nearest tenth of a cubic inch; of the cylinder and the sphere?

Answer 1

The difference is about 21.2
The volume of the cylinder is about 134.3
The volume of the sphere is about 113.1

Answer 2

The volume of a cylinder is calculated by the product of π, the square of the radius and the height. While, for the sphere it is calculated from the expression V= 4πr^3 /3. We calculate as follows:

V(cylinder) = πr^2h =π(3^2)(4 3/4) = 134.30 in^3
V(sphere) = 4πr^3 /3 = 4π(3)^3 /3 = 113.10 in^3


V(cylinder) - V(sphere)  = 21.2 in^3