Q1 of 48 Page 267

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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