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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?

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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,

Volume of soup given to each patient =

=

= 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


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