Question

Consider a solid spherical ball made of wood. Suppose a hole is bored (drilled) vertically through the center of the ball and the resulting solid has a height of 8 inches. What is the volume of the resulting solid?

Answer 1

The volume of solid is 268.08 inches cube.

Explanation:

The solid spherical ball has height 8 inches that means the diameter of the sphere is 8 inches. So, the radius will be the half of diameter. Thus, radius is 4 inches.

Now use below formula to find the volume of solid sphere.

`Volume = (4)/(3)\pi r^(2) \\Volume = (4)/(3)\pi (4)^(2) \\Volume = 268.08 \ in^(3)`

Therefore, the volume of solid is 268.08 inches cube.