Problema Solution

What is the height of a cone with a volume of 66 cubic centimeters and a base with a radius of 3 centimeters.

Answer provided by our tutors

Let

H = the height of the cone

R = 3 cm the radius

V = 66 cm^3 the volume of the cone

V = (1/3)R^2*π*H

H = 3V/(R^2*π)

H = 3*66/(3^2*3.14) since π = 3.14

H = 7 cm approximately

The height of the cone is 7 cm approximately.