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Answer :
Volume of spherical vessel = Volume of sphere + Volume of cylinder
\(= \ \pi (1)^2 (8) \ + \ \frac{4}{3} \pi (4.25)^3 \)
\(= \ 3.14(8 \ + \ \frac{4}{3} \ × \ 76.765625) \ \)
\( = \ 3.14(8 \ + \ 102.353 ) \)
\( = \ 3.14 \ × \ 110.353 \ \)
\( = \ 346.51 \) cm3
\(\therefore \) She is incorrect. The correct answer is 346.51 cm3