Question

A patient in a hospital is given soup daily in a cylindrical bowl of diameter $7cm$. If the bowl is filled with soup to a height of $4cm$, how much soup the hospital has to prepare daily to serve $250$ patients?

• A. $38.5$ lit.
• B. $18.5$ lit.
• C. $32.5$ lit.
• D. $28.5$ lit.

Answer 1

Answer: (A)

$38.5$ lit.

Volume of a Cylinder $=\pi R^{2}h$

Radius of the cylindrical bowl $=\frac{7}{2}cm$

Hence, capacity of 1 bowl $=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 4=154{cm}^3$
For $250$ patients, amount of soup required $=250\times 154=38500{cm}^3$

One litre of soup requires $1000{cm}^3$ of volume.

Hence, amount of soup required for $250$ patients $=\frac{38500}{1000}=38.5$ litres.