Question

The figure is a cylinder with a sphere within it.

What is the volume of the shaded part of this figure to the nearest whole number?

Use 3.14 for Pi.

A) 302

B) 864

C) 2713

D) 4524

E) 7238

Answer 1

Shaded Volume = Volume of Cylinder - Volume of Sphere

We know, Volume of a Cylinder = πr²h
v = π (8)² 18
v = π * 64 * 18
v = 1152π

Now, Volume of a Sphere = 4/3 πr³
v = 4/3 * π * 6³
v = 288π

Now, Shaded Area = 1152π - 288π = 864π = 864 * 3.14 = 2713

In short, Your Answer would be Option C

Hope this helps!