Pressure on a Sphere due to an Interior Force

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cyborg6060
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Consider a sphere of mass M and radius R. The interior of the sphere is a uniformly distributed mass M.

The surface shell of the sphere has a certain mass dm. What is the pressure on the surface of the sphere due to gravitational forces?
 
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wouldnt the pressure just be the weight per surface area?

the weight is just the mass times the gravitational force.

the area is easy to calculate
 

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