The height of a cone is equal to three times the radius of the base. If the base has an area of 36π square cm, what is the volume of the cone?

Answer 1

This is the formula for the volume of a cone:

V = (1/3)B•h

B = The area of the circle base (πr²)

h = height of the cone

B= πr²= 36π

r²= 36

r= 6

The height of a cone is equal to three times the radius of the base according to the problem:

h = 3r

h= 3(6) = 18

Now solve for the volume of the cone:

V=(1/3)(36π)(18) = 216π cu. cm.