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?

Respuesta :

Answer:

The volume of solid is 268.08 inches cube.

Step-by-step 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.

[tex]Volume = \frac{4}{3}\pi r^{2} \\Volume = \frac{4}{3}\pi (4)^{2} \\Volume = 268.08 \ in^{3}[/tex]

Therefore, the volume of solid is 268.08 inches cube.