$\displaystyle y=x$

$\displaystyle y=0$

$\displaystyle x=5$

$\displaystyle x=6$

Rotate the area bounded by the given curves around $\displaystyle x=1$

The easy numbers are throwing me off I think. My outside radius would just be 6-1 and my inner radius would just be 5 -1

Correct?

I have my integral set up as $\displaystyle \int_0^6 (5^2-4^2)$

Did i do this problem correctly? Thanks