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 serve 250 patients?
Solution:
Given,
Radius (R) of cylindrical bowl = 7/2 cm = 3.5 cm [Diameter = 7 cm]
Height up to which the bowl is filled with soup = 4 cm
Volume of soup in 1 bowl $=\pi r^{2} h$
$=22 / 7 \times 3.52 \times 4=154 \mathrm{~cm}^{3}$
Volume of soup $n 250$ bowls $=(250 \times 154) \mathrm{cm}^{3}=38500 \mathrm{~cm}^{3}=38.5$ liters.
The hospital has to prepare 38.5 liters of soup daily in order to serve 250 patients.
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