Question

A solid S, made of wood, is formed by removing a right circular cone from a right circular cylinder. The radius of the cylinder is 12 cm, the slant height of the cone is 20 cm. The cone and the cylinder have the same height. Calculate the volume, cm into significant figures.

Answer 1

The volume of the solid S can be calculated by finding the volume of the cylinder.

Step-by-step explanation:

To calculate the volume of the solid S, we first need to find the volume of the cylinder. The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height. In this case, the radius is 12 cm and the height is the same as the slant height of the cone, which is 20 cm. Plugging these values into the formula, we get:

V = 3.142 × (12 cm)² × 20 cm = 9033.792 cm³

Therefore, the volume of the cylinder is approximately 9033.792 cm³.