Suppose the solid W in the figure is onequarter of a circula

Suppose the solid W in the figure is one-quarter of a circular cylinder of height and radius centered about the z-axis in the first octant.Find the limits of integration for an iterated integral of the form integral integral_W integral f dV = integral_A^B integral_C^D integral_E^F f(r,theta,z) dz rdr dtheta. If necessary,enter theta as theta.

Solution

z-varies from 0 to 8, r-varies from 0 to 6 and theta- varies from 0 to 90 (First octant)

hence E(z) =0 t0 F=8

C(r) = 0 to D= 6      and

         A(theta) = 0 to B= 90 degrees