The correct choice is (c) C.S.A of the cylinder + 2(C.S.A of the hemisphere)
The best I can explain: To find the T.S.A of an article which is made by digging out a hemisphere from each end of a solid cylinder, we need C.S.A of the cylinder and C.S.A of the hemisphere.
T.S.A of the article = C.S.A of the cylinder + 2(C.S.A of the hemisphere).