# A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm.

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.