- #1

Jovy

- 17

- 2

## Homework Statement

A torus is formed by revolving the region bounded by the circle ##x^2+ y^2= 1## about the line x =2 Find the volume of this “doughnut-shaped” solid.

(Hint: The integral ##{\int_{-1}^1} \sqrt{1 -x^2} dx## represents the area of a semicircle.)

2. Homework Equations

2. Homework Equations

$$Volume=2\pi\int_a^b p(y)h(y)dy$$

## The Attempt at a Solution

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I know that h(y) or the width is ##\sqrt{1 -x^2}##

The radius or p(y) is (2-x).

However, when I plug that into the equation and integrate, I get 0 and I know that's wrong.