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Answer :
The greatest diameter that a hemisphere can have = 7 cm .
Surface area of the solid after surmounted hemisphere
\( = \ 6 l^2 \ - \ \pi R^2 \ + \ 2 \pi R^2 \)
\(= \ 6l^2 \ + \ \pi R^2 \)
\( = \ 6(7)^2 \ + \ \frac{22}{7} \ × \ ( \frac{7}{2} )^2 \)
\( = \ 6 \ × \ 49 \ + \ 11 \ × \ \frac{7}{2} \)
\( = \ 294 \ + \ 38.5 \ = \ 332.5 \) cm2