(c) (2 mark) Consider the solid generated by rotating the region on the above of the line
y=(a)/(2)
and restricted by the ellipse
(x^(2))/(a^(2)) (y^(2))/(b^(2))=1
. This region is rotated around
x
-axis, write the integral which represents the volume of the resulting solid. (You do not need to evaluate the integral).