Question

A sphere has a radius of 6 meters. A second sphere has a radius of 3 meters. What is the difference of the volumes of the spheres? A: The volume of the larger sphere is _(pi or 3.14) cubic meters greater than the volume of the smaller sphere.

Answer 1

Difference in volume = 791.28m³

The volume of the larger sphere is 791.28m³ greater than the volume of the smaller sphere.

Explanation:

The formula for calculating the volume of a sphere is expressed as;

V = 4/3πr³

r is the radius of the sphere:

For the sphere with radius of 6meters

V = 4/3π(6)³

V = 4/3π(216)

V = 4(3.14)(72)

V = 904.32m³

For the sphere with radius of 3 metres

V = 4/3π(3)³

V = 4/3π(27)

V = 4(3.14)(9)

V = 113.04m³

Get the difference in volume;

The difference of the volumes of the spheres = 904.32m³ - 113.04m³

Difference = 791.28m³

Hence the difference of the volumes of the spheres is 791.28m³

This means that the volume of the larger sphere is 791.28m³ greater than the volume of the smaller sphere.