Q. 44.8( 4 Votes )

# A hemispherical bowl of internal radius 18 cm contains an edible oil to be filled in cylindrical bottles of radius 3 cm and height 9 cm. How many bottles are required to empty the bowl?

Answer :

Given.

Radius of hemisphere is 18 cm

Radius of cylinder is 3 cm

Height of cylinder is 9 cm

Formula used/Theory.

Volume of cylinder = πr^{2}h

Volume of hemisphere = πr^{3}

Volume of cylindrical bottle = πr^{2}h

= π × (3cm)^{2} × 9 cm

= 81π cm^{3}

Volume of hemispherical bowl = πr^{3}

= × π × (18 cm)^{3}

= 3888 π cm^{3}

Number of cylindrical bottle will be get by dividing Volume of hemispherical bowl by Volume of each Cylindrical bottle

Number of cylindrical bottle =

=

= 48 bottles

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