A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.
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D of hemisphere = 14cm
r = 14/2 = 7cm
CSA of hemisphere = 2πr²
= 2 x 22/7 x 7 x 7 = 44x7
= 308cm²
r = 7cm
h(total) = 13cm
h(cylinder) = 13 - radius of heisphere = 13-7 = 6cm
CSA of Cylinder = 2πrh = 2 x 22/7 x 7 x 6
= 44x6 = 264cm²
Surface area of the vessel = CSA of Hemisphere + CSA of Cyclinder
= 308+264 = 572cm²
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