A solid E is made up of a cylinder, with radius 3 units and height 4 units, and a hemisphere attached on top of the cylinder, as shown in the figure below. (a) Figure 05 The projection of solid E onto the yz-plane can be described as follows: Projection of E onto yz-plane = {(y,z)| -3 sys 3,4 525 4+19 yz} . (1) Describe the projection of solid E onto the xy- and xz-plane. (4 marks) (ii) Describe solid E. (2 marks) (b) (i) Consider the integration over the solid domain E xdv. E Rewrite this integration as an iterated integral with dz first, followed by dy, then dx. (2 marks) Rewrite the iterated integral in Question 5(b)(i) by converting to cylindrical coordinates. (3 marks) (iii) Hence, compute the integral. (4 marks) Please show your working clearly. Thanks