Question

Suppose a sphere and a cone share the same radius and the height of the cone is twice the radius. Which ratio describes the relationship between the formulas for the volume of a cone to the volume of a sphere?(1 point)
___ : ___

Answer 1

Cone volume = (1/3)πr^2h = (1/3)πr^2(2r) = (2/3)πr^3.
Sphere volume = (4/3)πr^3.
Ratio cone : sphere = (2/3)πr^3 : (4/3)πr^3 = 2:4 = 1:2.