Question

The volume of a sphere is 48 m^3
. What is the volume of a cylinder if its radius is the same as the sphere’s and its height is equal to the sphere’s diameter?(1 point)
m3

Answer 1

Volume of sphere: (4/3)πr^3 = 48 ⇒ r^3 = 48·3/(4π) = 36/π.

Cylinder with radius r and height 2r: V = πr^2·2r = 2πr^3 = 2π·(36/π) = 72.

So the cylinder's volume is 72 m^3.