A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Respuesta :

It is 3 times the volume of the cone, so it is 72 cubic inches

Answer:

Step-by-step explanation:

Since cone has to fit exactly inside of a cylinder

(1) radius of cone will be same as radius of cylinder

(2) height of cone will be same as height of cylinder

volume of cone is V= [tex]\frac{1}{3} \pi r^2h[/tex]

volume of cylinder V = [tex]\pi r^2h[/tex]

that is volume of cylinder is three times volume of cone

which gives volume of cylinder = 3 (24 cubic inches ) = 72 cubic inches

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