Question

How do you use cylindrical shells to find the volume of a solid of revolution?

Answer 1

If the solid is obtained by rotating the region between the graph of `f(x)` and the x-axis from `x=a` to `x=b` about the y-axis, the volume `V` of the solid can be found by Shell Method:
`V=2pi int_a^b xf(x) dx`