jerrymiah
contestada

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?

Respuesta :

Answer:

Volume of the cone is 16 cm³

Step-by-step 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

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