Question

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations  about the x - axis.

Answer 1

Step 1:

The equations are and .

Washer method:

The volume of the solid is .

Disk 1: between .

So, take and over interval .

Disk 2: between .

So, take and over interval .

Step 2:

The volume of the region is .

Apply power rule in integration .

The volume of the region is cubic units.

Solution:

The volume of the region is cubic units.