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Question

A hemispherical bowl of internal radius 15 cm contains a liquid. The liquid is to be filled into cylindrical-shaped bottles of diameter 5 cm and height 6 cm. How many bottles are necessary to empty the bowl?

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Solution

Internal radius of hemispherical bowl r = 15 cm

The volume of bowl = volume of liquid

Volume of liquid = 2250 π cm3

Since, the liquid filled into the cylindrical shaped bottles of radius and height 6 cm.

Let n be the no. of bottles.

Therefore,

The volume of liquid = n × volume of cylindrical shaped bottle

Hence, the no. of bottles = 60


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