# 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

= = 1 cm

Volume of Cylinder = πr2h

= × (1)2 × 8

=

= 25.14 cm3

= = 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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