Question

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 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?

Answer 1

Soup is in the form of a cylinder with

Radius$=r=\frac{Diameter}{2}=\frac{7}{2}cm=3.5cm$

Height$=h=4cm$

Volume of the soup in cylindrical bowl$=\pi r^{2}h=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 4=154{cm}^3$

Soup served to $1$ patient$=154{cm}^3$

Soup served to $250$ patient$=250\times 154=38,500{cm}^3=38500\times \frac{1}{1000}litres=38.5l$ using $1{cm}^3=\frac{1}{1000}l$