Question: Consider the solid E = {(x, y, z)| x 2+y 2+z 2 2z} with the density function f(x, y, z) = p x 2 +

Consider the solid E = {(x, y, z)| x 2+y 2+z 2 2z} with the density function f(x, y, z) = p x 2 + y 2 + z 2.

(a) Use spherical coordinates to find the total volume of E.

(b) Use spherical coordinates to find the total mass of E.

(c) Find the average density over E.

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