Question

Each integral represents the volume of a solid. Describe the solid.

Answer 1

Step 1:

The volume of solid integral is .

Volume of  the solid, obtained by rotating about -axis,

the region under the curve from a  to b  is

Re-write the expression.

Compare the above expression with volume of the solid,

, and .

Solid obtained by rotating the region about -axis.

Solution:

Solid obtained by rotating the region about -axis.