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Question

A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles are required to empty the bowl?

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Solution

Internal radius of the hemispherical bowl = 9 cm
Radius of a cylindrical shaped bottle = 1.5 cm
Height of a bottle = 4 cm

Number of bottles required to empty the bowl = volume of the hemispherical bowlvolume of a cylindrical shaped bottle
=23π×93π×1.52×4=2×9×9×93×1.5×1.5×4=54

∴ 54 bottles are required to empty the bowl.

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