Question: Q2 A solid is bounded above by the sphere x2 + y? + z? = 2 and below by the paraboloid z = x2 +

Q2 A solid is bounded above by the sphere x2 + y? + z? = 2 and below by the paraboloid z = x2 + y2. (a) Find the plane of interception between the sphere and the paraboloid and find the equation of projection of this plane of interception onto the xy -plane. ( 4 marks ) (b) Find the exact total mass of the solid if density of the solid is given as p = z (g per unit3). ( 10 marks )

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