Question

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 5.

x = y^2 ,     x = 4

Answer 1

Step 1:

The equations are and .

The volume of the solid generated revolving about the line .

Washer method:

Where is outer radius and is inner radius.

The outer radius of revolution is .

The inner radius of revolution is .

Substitute , in .

.

Find the limits, by equating .

Integral limits are and .

Step 2:

 

Apply power rule .

The volume of solid is cubic units.

Solution:

The volume of solid is cubic units.