What is the volume of spherical shell?
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Thus The volume of the shell is approximately, the surface area of the shell multiplied by the thickness of the shell. since concentric spheres are homothetic. In particular V(R)−V(r)=V(1)(R−r)(R2+Rr+r2). On the other hand A(r)=A(1)⋅r2 and A(R)=limr→R−V(R)−V(r)R−r=limr→R−V(1)(R2+Rr+r2)=3V(1)R2.
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Answer:
the volume of sphere is 4/3 pi r3
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