Find the volume formed by rotating the area contained by y=sqrt(6x+4), the y-axis and the line y=2x about the y-axis. Set up, but do not evaluate the integral.(adsbygoogle = window.adsbygoogle || []).push({});

First I graphed it, then did the "washer" method of finding the area of the circle formed, and found that the radius is (y/2-sqrt[(y^2-4)/6]. Is this right?

I then found the height, which would be sqrt(y/2-sqrt[(y^2-4)/6], wouldn't it?

Then the answer is: the integral from 0 to 4 of pi times the radius squared, times the height times dy.

I don't have an answer key, but could someone help me with this?

**Physics Forums - The Fusion of Science and Community**

# Solids of Revolution

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

Have something to add?

- Similar discussions for: Solids of Revolution

Loading...

**Physics Forums - The Fusion of Science and Community**