Question

a cylinder has a volume of 24 cubic centimeters. The height of a cone with the same radius is two times the height of the cylinder. What is the volume of the cone?

Answer 1

Volume of the cone is 16 cm³

Explanation:

We know that the volume of the cylinder is 24 cm³

The formula for this cylinder is 24 = πr²h

The cone has the same radius, but it's height is twice that of the cone, so the formula for the volume of the cone is

V = (1/3)πr²(2h) it's 2h because it's height is twice the

height of the cylinder

We can rewrite the equation using the associative rule of multiplication...

V = (2/3)(πr²h)

We know from the formula for the cylinder that πr²h = 24 cm³, so substitute that in...

V = (2/3)(24 cm³)

Now simplify...

V = 16 cm³