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 .

The volume of the solid generated revolving about the - axis.

Disk method:

The outer radius of revolution is .

Substitute in .

Integrate between 0 and 4.

Apply formula .

The volume of solid is cubic units.

Solution:

The volume of solid is cubic units.