Question

A cone of equal height and equal base is cut off from a cylinder of height 24 cm and base radius 7 cm. The volume of remaining solid is ______.

Options

• 2464 cm³

• 4928 cm³

• 1232 cm³

• 616 cm³

Answer 1

A cone of equal height and equal base is cut off from a cylinder of height 24 cm and base radius 7 cm. The volume of remaining solid is 2464 cm³.

Explanation:

The volume of the remaining solid is obtained by subtracting the volume of the cone `(1/3 πr^2h)` from the volume of the cylinder (πr²h), which equals `2/3`πr² h. Substituting the given values, we get `2/3 × 22/7 × 7 × 7 × 24`

= 2464 cm³