(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the volume of the solid generated by revolving the triangular region bounded by the lines [tex]y= 2x[/tex], [tex]y= 0[/tex] and [tex]x= 1[/tex] about the line [tex]x= 1[/tex].

2. Relevant equations

[tex]V= \int A(x)dx = \int \pi[R(x)]^{2}dx[/tex]

3. The attempt at a solution

I used the disk method, in which I found the radius of the solid. I found the radius to be [tex]1- y/2[/tex].

[tex]V= \int \pi[1- y/2]^{2}dx[/tex]

By the way, the upper limit is 1 and the lower limit is 0. I don't know how to put that in latex.

So I got an answer of [tex]7\pi/12[/tex]. Am I right?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Volumes of Revolution problem

**Physics Forums | Science Articles, Homework Help, Discussion**