# Math Help - Volume problem

1. ## Volume problem

Use the shell method to evaluate the volume between y=(x)^(1/2), y=0, x=4, about the line x=6.

2. Originally Posted by HMV
Use the shell method to evaluate the volume between y=(x)^(1/2), y=0, x=4, about the line x=6.
The formula is

$V = 2 \pi \int_a^b r f(x)\,dx$

where $f(x)$ is your function and $r$ the distance from a point in the region (along the x axis) to the line. So here

$V = 2 \pi \int_0^4 (6-x) \sqrt{x}\, dx$

I'm sure you can take it from here.