Question

Use your calculator to find the approximate volume in cubic units of the solid created when the region under the curve y = sec(x) on the interval [0,pi divided by 3] is rotated around the x-axis.

1.317
1.732
4.137
5.441

Answer 1

first i would graph
y = pi * sec(x)^2
or
y = pi /cos(x)^2
that will give you the cross sectional area at a point x.
then just integrate from 0 to pi/3