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Question
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to server 250 patients?
Solution
Given data is as follows:
Diameter = 7cm
h = 4cm
Number of patients = 250
We have to find the total volume of soup required to serve all 250 patients.
Given is the diameter, which is equal to 7cm. Therefore, `r = 7/2 cm = 3.5 cm `
Volume of soup given to each patient = `pir^2h`
=`22/7 xx 3.5 xx 3.5 xx4`
= 154 cm3
Volume of soup for all 250 patients = 154 × 250
=38500 cm3
We know that, 1000 cm3 = 1 litre.
Therefore,
Volume of soup for all 250 patients = 38.5 litres
Volume of soup for all 250 patients = 38.5 litres
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