Question

A cone is inscribed in a pyramid whose square base has sides of length 8. The height

of the cone is 6. Find the volume of the cone.

Answer 1

The volume of the cone is 384 cubic units.

Step-by-step explanation:

To find the volume of the cone, we need to use the formula V = Ah, where A is the area of the base of the cone and h is the height of the cone. In this case, the base of the cone is a square with sides of length 8, so the area of the base is 8 * 8 = 64 square units. The height of the cone is given as 6 units. Therefore, the volume of the cone is V = 64 * 6 = 384 cubic units.