An ice cream cone can be modeled by the region bounded by thehemisphere z = √8 − x2 − y2 and the cone z = √x2 + y2. We wish to find the volumeof the ice cream cone.(a)   sketch this ice cream cone in 3 dimensions. (b)  Explain why a polar coordinates interpretation of this problem is advan-tageous. include a comparison to the double integral which results fromthe rectangular coordinates interpretation of this problem. (c)  Restate  using polar coordinates, r and θ, statethe bounds on each.(d)  Set up and evaluate the double integral corresponding to the volume ofthe ice cream cone.

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