If V r represents the volume of a shpere with radius r and

If V (r ) represents the volume of a shpere with radius r and S(r ) represents its surface area, it can be shown that V\' (r ) = S ( r ). Use the fact. That s( r ) = 4pir2 to obtain the formula for v ( r )

Solution

V(r)=S(r)dr
S(r)=4r2

S(r)dr=4r2dr

=4/3r3

So V(r)=4/3r3

 If V (r ) represents the volume of a shpere with radius r and S(r ) represents its surface area, it can be shown that V\' (r ) = S ( r ). Use the fact. That s(

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