Question

The volume of a cone is 36piin to the power of 3. What is the volume of a cylinder with the same base and height as the cone?

Answer 1

108πin³

Explanation:

The volume of a cone = ⅓ of the volume of a cylinder

Thus, volume of cylinder = 2πr²h

Where, r = radius, h = height of cylinder.

Volume of cone = ⅓×πr²h

So therefore, the volume of a cone given = ⅓ of the volume of a cylinder with the same height and and base of the cone

Thus,

If Volume of cone = 36πin³ , volume of cylinder would be 3 × 36πin³

Volume of cylinder = 108πin³