Use the relationship among the formulas for the volumes of cones, cylinders, and spheres to solve the following problem. The volume of a cylinder is 36 cm?. What is the volume of a sphere if its radius is the same as the cylinder's and the height of the cylinder is equal to the sphere's diameter?
pi r^2 h = 36
h = 2 r
pi r*2 * 2r = 36
so pi r^3 = 18
then
(4/3) pi r^3 = V
V = (4/3) * 18 = 24