Q5 of 48 Page 264

A solid has hemi - spherical base with diameter 8.5 cm and it is surmounted by a cylinder with height 8 cm and diameter of cylinder is 2 cm. Find the volume of this solid. (π = 3.14)

Given


Diameter of hemisphere = 8.5


Diameter of cylinder = 2cm


Height of cylinder = 8cm


Formula used


Volume of Cylinder = πr2h


Volume of hemisphere = πr3


Radius of cylinder =


= = 1 cm


⇒ Volume of Cylinder = πr2h


= × (1)2 × 8


=


= 25.14 cm3


Radius of hemisphere =


= = 4.25 cm


⇒ Volume of hemisphere = πr3


= × (4.25)3


= 160.84 cm3


Volume of solid = Volume of cylinder + volume of hemisphere


= 25.14 cm3 + 160.84 cm3


= 185.98 cm3


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