Q9 of 44 Page 14

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 13cm. Find the inner surface area of the vessel.


Given: Diameter of the hemisphere = 14cm


∴ Radius of the hemisphere


Curved Surface Area of Hemisphere = 2πr2



= 308cm2


Now,


Radius of cylinder = radius of hemisphere = 7cm


Height of cylinder = Total height – Radius of hemisphere


= 13 – 7


= 6cm


So, CSA of cylinder = 2πrh



= 264cm2


The inner Surface area of the vessel


= CSA of hemisphere + CSA of cylinder


= 308 + 264


= 572cm2


Hence, Inner surface area of vessel is 572cm2


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