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?

Volume of the cone is 16 cm³

Step-by-step explanation:

We know that the volume of the cylinder is 24 cm³The formula for this cylinder is 24 = πr²hThe cone has the same radius, but it's height is twice that of the cone, so the formula for the volume of the cone isV = (1/3) πr² (2h) it's 2h because it's height is twice the height of the cylinderWe 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