Q. 15.0( 3 Votes )

# A hemispherical bowl of internal radius 12 cm contains some liquid. This liquid is to be filled into cylindrical bottles of diameter 4 cm and height 6 cm. How many bottles can be filled with this liquid?

Answer :

Given.

Hemispherical bowl of internal radius 12 cm

Cylindrical bottles of diameter 4 cm and height 6 cm

Formula used/Theory.

Volume of Cylinder = πr^{2}h

Volume of hemisphere = πr^{3}

Volume of water will be equal to volume of hemisphere

Volume of hemisphere = πr^{3}

= × π × (12 cm) ^{3}

= 1152 × π cm^{3}

Radius of bottle = = 2 cm

Volume of each bottle = πr^{2}h

= π × (2cm) ^{2} × 6 cm

= 24π cm^{3}

**Note we will not put value of π as it will be divided in next step

Number of bottles filled will be dividing the total volume of water by volume of water contained by 1 bottle

Number of bottles = = 48

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