Question

To illustrate the given solid mentioned in part (a) by using graphing calculator.

Short answer

The sphere and cylinder is given as

Step-by-step solution

Given data

The region \(E\) is the cylinder \(r = a\cos \theta \) cuts out of the sphere of radius \(a\) centered at origin.

Formula used of Integration

Draw the sketch

The sphere and cylinder mentioned in part (a) is given below in Figure 1.

shown above is the required sketch of the given solid.