Q2 of 79 Page 244

A solid is in the shape of a cylinder surmounted on a hemisphere. If the diameter and the total height of the solid are 21 cm, 25.5 cm respectively, then find its volume.

Given, Diameter = 21 cm


Total height of the solid = 25.5 cm


Radius =


= 10.5 cm


Height of cylinder = 25.5-10.5


= 15 cm


Volume of cylinder = r2h


= 10.510.515


= 1653.75


Volume of hemisphere = r3


=


= 771.75


Volume of solid = Volume of cylinder+ Volume of hemisphere


= 1653.75 +771.75


= 2425.5


= 7616.07 cm3


Volume of solid is 7616.07 cm3


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