- #1

jaguar ride

- 22

- 3

## Homework Statement

Find the volume of the solid formed by revolving the region bounded by f(x) = 2-x^2 and g(x) = 1 about the line y = 1.

## Homework Equations

V = ∏∫(1-f(x))^2dx - ∏∫(1-g(x))^2dx

## The Attempt at a Solution

I keep ending up with ∏∫(1-(2-x^2))^2dx - ∏∫(1-1)^2dx, on the interval from x = 0, x = 1. This gives me ∏∫[(-1+x^2)^2 - 0]dx

= ∏[x - (2/3)x^3 + (1/5)x^5].

This keeps giving me 8∏/15.

This is on a test review sheet, with the answer being 16∏/15. So I can get that answer by multiplying mine by 2, but why would I do that? I must be doing something wrong somewhere else. Any help would be greatly appreciated! Thanks.