Question

The volume of a sphere is 72 m3
. What is the volume of a cone 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 cone = (1/3)πr^2h with h = 2r gives V_c = (1/3)πr^2(2r) = (2/3)πr^3.
Sphere: V_s = (4/3)πr^3 = 72, so V_c = (1/2)V_s = 36 m^3.

Answer: 36 m^3.