Q. 54.3( 3 Votes )

# 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)

Answer :

Given

Diameter of hemisphere = 8.5

Diameter of cylinder = 2cm

Height of cylinder = 8cm

Formula used

Volume of Cylinder = πr^{2}h

Volume of hemisphere = πr^{3}

Radius of cylinder =

= = 1 cm

⇒ Volume of Cylinder = πr^{2}h

= × (1)^{2} × 8

=

= 25.14 cm^{3}

Radius of hemisphere =

= = 4.25 cm

⇒ Volume of hemisphere = πr^{3}

= × (4.25)^{3}

= 160.84 cm^{3}

Volume of solid = Volume of cylinder + volume of hemisphere

= 25.14 cm^{3} + 160.84 cm^{3}

= 185.98 cm^{3}

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