Question

Consider the region of the x-y plane between the line y=7, the curve y=3sinx+4, and for -pi/2 is less than or equal to x which is less than or equal to pi/2.

Find the volume of the solid generated by revolving this region about the line .

Answer 1

Is it being rotated about the line y = 7 or y = 0 ?

If it is about y = 7, compute the integral of
pi*(3 sinx +4 -7)^2 dx
= pi*(3 sinx -3)^2
between the two x limits