Find the mass and center of mass of a solid hemisphere of radius $a$ if the density at any point is proportional to its distance from the base.
Added by Mary W.
Step 1
Let's place the hemisphere in a 3D coordinate system such that the base of the hemisphere lies in the xy-plane and the center of the base is at the origin. The z-axis then goes through the center of the hemisphere. The density at any point in the hemisphere is Show more…
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