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

The area between the y-axis and the line y = x + 1 from y = 2 to

y = 4 is rotated about the x-axis. Use the shell method to find the

area of the resulting solid.

2. Relevant equations

V = 2pi integral (radius)(height of shell) dx or dy

3. The attempt at a solution

Well I am kind of confused with this problem, it says to find the AREA but isn't the shell method suppose to find the VOLUME?

Here is my attempt:

y= x+1 -----> x=y-1

V = 2pi integral from 2 to 4 y(y-1) dy

I then evaluated it to get = (76/3)pi as the volume.

What did I do wrong?

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# Homework Help: Shell Method Question

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