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Q.

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 serve 250 patients?

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answer is 38500.

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Detailed Solution

Given, diameter = 7 cm and height of soup = 4 cm

Radius, r = d/2 = 7/2 cm = 3.5 cm

The volume of cylinder= πr2h

Using this formula, we have 

(22/7) × 3.52 × 4 = 154

The volume of soup in one bowl is 154 cm3

Therefore, volume of soup given to 250 patients = 250 × 154 = 38500 cm3

= 38.5 litres.

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