Acylinder 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

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