A sphere and a cylinder have the same radius and height. The volume of the cylinder is 30m3. What is the volume of the sphere

Option B) 20 m^3 is the correct answer.

Volume of cylinder = pi r^2 h = 30 m^3

Volume of sphere = 4/3 pi r^3

now h = 2r (given)

so volume of cylinder = pi r^2 * 2r = 2 pi r^3 = 30

pi r^3 = 15 so r^3 = 15/pi

therefore the volume of sphere = 4/3 pi * 15/pi = 4/3 * 15 = 20 m^3