Let B be a solid in the shape of a ball (solid sphere) with a conical hole, as illustrated below. This solid can be modeled as the region of space inside the sphere x^2+y^2+(z?5)^2=25 and below the cone z=sqrt(3x^2+3y^2?)

a) Describe solid B in cylindrical coordinates.

b) Describe solid B in spherical coordinates.

c) Calculate the average height of points in E (with respect to the plane z=0).

Reminder: The average of a function f over a region E of space is given by:

fmoy