What is the volume of the cone if the base radius is 4 and the height is 6?

A cone is a geometric body that is formed by rotating a right-angled triangle around its leg.

The volume of the cone is equal to one third of the product of the area of the base of the given cone by the height:

V = 1/3 ∙ S ∙ h.

Since the base of the cone is a circle, its area can be found using the formula for the area of a circle:

S = πr ^ 2;

S = 3.14 ∙ 42 = 3.14 ∙ 16 = 50.24 cm2.

V = 1/3 ∙ 50.24 ∙ 6 = 100.48 cm2.

Answer: The volume of the cone is 100.48 cm2.