Question: Q2 (a) A solid G is bounded above by z=6-(x + y?), below by xy -plane and laterally by x = 2-y. (i) Sketch the

Q2 (a) A solid G is bounded above by z=6-(x + y?), below by xy -plane and laterally by x = 2-y. (i) Sketch the graph z=6-(x] + y?). (2 marks) (ii) Sketch the graph x' = 2- y. (2 marks) (iii) Evaluate the volume of solid G by using cylindrical coordinates. (6 marks) (b) Triple integral in cylindrical coordinates is given by 2n1 2 r (i) Evaluate the triple integral. (6 marks) (ii) Convert the integral to spherical coordinates. (Do not evaluate). (4 marks)

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