Question

The figure is a sphere with a cone within it.

To the nearest whole number, what is the approximate volume of the shaded part of this figure?

Use 3.14 for π

Answer 1

The answer to your question is: V = 92.11 m³

Explanation:

Data

π = 3.14

radius sphere = 3 m

radius cylinder = 2 m

height = 5 m

Formula

Volume sphere = 4/3 πr³

Volume cylinder = 1/3 πr²h

Process

Volume sphere = 4/3 (3.14)(3)³

= 113.04 m³

Volume cylinder = 1/3 (3.14)(2)²(5)

= 20.93 m³

Volume of the shaded section = 113.04 - 20.93

= 92.11 m³