Question

Find the volume of the solid generated when the region bounded by [equation] and [equation] is revolved about [equation]?

Answer 1

To find the volume of the solid generated when the region bounded by two equations is revolved about a given axis, you can use the method of cylindrical shells.

Step-by-step explanation:

The volume of the solid generated when the region bounded by two equations is revolved about a given axis can be found using the method of cylindrical shells. Here are the steps to find the volume:

1. First, determine the limits of integration and set up the integral.
2. Next, write the equation for the volume of a cylindrical shell.
3. Integrate the equation from step 2 to find the volume.
4. Simplify and evaluate the integral to get the final answer.

Remember to substitute the equations and axis of revolution into the formula and perform any necessary calculations.