# 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?

Given.

Hemispherical bowl of internal radius 12 cm

Cylindrical bottles of diameter 4 cm and height 6 cm

Formula used/Theory.

Volume of Cylinder = πr2h

Volume of hemisphere = πr3

Volume of water will be equal to volume of hemisphere

Volume of hemisphere = πr3

= × π × (12 cm) 3

= 1152 × π cm3

Radius of bottle = = 2 cm

Volume of each bottle = πr2h

= π × (2cm) 2 × 6 cm

= 24π cm3

**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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