Solutions to Homework 9
The plane z= 1 divides Dinto two r simple regions Therefore ZZZ D dV = Z 2ˇ 0 Z 1 0 Z z 0 rdrdzd Z 2ˇ 0 Z 2 1 Zp 2 z 0 rdrdzd c Use dV = rd dzdr There is no restriction on as this region is rotationally symmetric However zis still constrained by the cone and the parabola Therefore ZZZ D dV = Z 1 0 Z 2 r2 r Z 2ˇ 0 rd dzdr Section # 18 Let Dbe the region …