A vessel is in the form of a hollow hemisphere mounted on a hollow cylinder. The diameter of the hemisphere is 28 cm, and the total height of the vessel is 20 cm. Find the inner surface area (in cm2) of the vessel. (Use )
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Correct answer: C
Explanation
The correct answer is Option 3 i.e. 1760.
Diameter = 28 cm, Radius(r) = 14 cm
Total height = 20 cm
Height of cylinder = 20 - 14 = 6 cm
Inner surface area = CSA of hemisphere + CSA of cylinder
⇒ 2πr2 + 2πrh
⇒ 2 × × 142 + 2 × × 14 × 6
⇒ 2 × (196 + 84) = 1760 cm2