A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped small bottles each of diameter 3 cm and height 4 cm. How many bottles are necessary to empty the bowl?

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Solution

The internal radius of the hemispherical bowl is 9cm. Therefore, the volume of the water in the hemispherical bowl is

The water in the hemispherical bowl is required to transfer into the cylindrical bottles each of radiuscm and height 4cm. Therefore, the volume of each of the cylindrical bottle is

Therefore, the required number of cylindrical bottles is

Hence

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