Question

A sphere has a radius of 6 units. if the radius is tripled, by what factor does the volume increase?

Answer 1

Original volume = (4/3)π(6^3) = 288π

New volume = (4/3)π(18^3) = 7,776π

7,776π ÷ 28π = 27

When the radius of a sphere is tripled, the volume of the new sphere is 27 times the volume of the old sphere.