Question

Can someone check my answer:

Let R be the region bounded by the x-axis and the graph of f(x)=5sec^2x on the interval [0,pi/4].

Set up but do not evaluate, an integral which represents the volume of the solid obtained when R is revolved around the vertical line x=200

My answer:
Integral from 0 to 200 of (pi(5sec^(2)x)^2)