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Question
A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. How many bottles are needed to empty the bowl?
Solution
Given, radius of hemispherical bowl, r = 9 cm
And radius of cylindrical bottles, R = 1.5 cm and height, h = 4 cm
∴ Number of required cylindrical bottles
= `"Volume of hemispherical bowl"/"Volume of one cylindrical bottle"`
= `(2/3 pir^3)/(pi R^2h)`
= `(2/3 xx pi xx 9 xx 9 xx 9)/(pi xx 1.5 xx 1.5 xx 4)`
= 54
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