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Surface Areas and Volumes
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27/06/2021 11:46 am
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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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27/06/2021 11:48 am
The diameter of the hemisphere = D = 14 cm
The radius of the hemisphere = r = 7 cm
Also, the height of the cylinder = h
= (13 - 7)
= 6 cm
And, the radius of the hollow hemisphere = 7 cm
Now, the inner surface area of the vessel = CSA of the cylindrical part + CSA of hemispherical part
(2πrh + 2πr2) cm2
= 2πr(h + r) cm2
= 2 × (22/7) × 7(6 + 7) cm2
= 572 cm2