Consider the integral r dz dr d theta Sketch the solid whose

Consider the integral r dz dr d theta. Sketch the solid whose volume is given by this integral. Evaluate the integral.

Solution

(0,/2).(0,2).(0,9-r²)r.dr.dz.d

(0,/2).(0,2).(9-r²)²/2.dz.d

/2.2.(9-r²)²/2=(9-r²)²/2