Hey guys, would you know how to do part B of the question below. I have the answer to part A (√3/2) but just need a hand with the second part where the answer is (b) π/24(4π +3√3).

The region R is bounded by the curve y = cos2x, the x-axis and the lines x = π/6 and x = −π/6. (a) Sketch R and then ﬁnd its area. (b) Find the exact volume generated when the region R is rotated about the x-axis.

Thanks