Q. 173.8( 8 Votes )

Answer :

Vessel is in the form of a hemispherical bowl surmounted by a hallow cylinder.

Diameter of hemisphere = 21 cm

Radius of hemisphere = 10.5 cm

Volume of hemisphere = 2/3 πr^{3} = 2/3 × 22/7 × 10.5^{3} cm^{3}

= 2425.5 cm^{3}

Total height of vessel = 14.5 cm

Height of cylinder = h = Total height of vessel - Radius of hemisphere

= 14.5 – 10.5 cm = 4 cm

Volume of cylinder = πr^{2}h = 22/7 × 10.5 × 10.5 × 4 cm^{3}

= 1386 cm^{3}

Volume of vessel = Volume of hemisphere + Volume of cylinder

= 2425.5 cm^{3} + 1386 cm^{3}

= 3811.5 cm^{3}

∴ Capacity of vessel = 3811.5 cm^{3}

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