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
