A cone has twice the base diameter and three-fourths the height of a cylinder. Can you tell what the relationship between the volume of the cone and the volume of the cylinder is? Explain your reasoning.

Equal volumes

Step-by-step explanation:

Given

height of cone

diameter of cone

height of cylinder

diameter of cylinder

Such that:

Required

The relationship between the volumes

The volume of a cylinder is:

Where

So:

The volume of the cone is:

Where

and

So, we have:

So, we have:

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