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? The volume of the larger sphere is π cubic meters greater than the volume of the smaller sphere.

Answer 1

Explanation:

volume of sphere = (4/3)πr³

Difference= [(4/3)*π*6³]-[(4/3)*π*3³]

`=\pi*[((4)/(3)*6*6*6) - ((4)/(3)*3*3*3)]\\\\=\pi*[(4*2*6*6)-(4*3*3)]\\\\=\pi *[288-36]\\\\=252\pi`