Question

A cylinder has a radius of 4 inches and a height of 10 inches. A sphere has a radius of 5 inches. Find the difference of their volumes to the nearest tenth of a cubic inch.

Answer 1

The answer to your question is Volume = 20.93 in³

Explanation:

Data

Cylinder Sphere

radius = 4 in radius = 5 in

height = 10 in

Process

1.-Calculate the volume of the cylinder

Volume = πr²h

-Substitution

Volume = (3.14)(4)²(10)

-Simplification

Volume = 502.4 in³

2.- Calculate the volume of the sphere

Volume = 4/3πr³

-Substitution

Volume = 4/3 (3.14)(5)³

-Simplification

Volume = 523.33 in³

3.- Find the difference between the volume

diference = 523.33 - 502.4

= 20.93 in³