We have given,
Since, surface area of the cylinder is sum of the surface area of curved surface and two circular region (One is up called base and another is top ).
Thus,
A=2πr2+2πrh⟹A=2πr(r+h) In this case we have A=100 , thus
100=2πr2+2πrh⟹h=πr50−πr2
Now, we know that Volume of Cylinder is
V=πr2h⟹V=πr2(πr50−πr2)=r(50−πr2)
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