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 server 250 patients?
 

Answer 1

Given data is as follows:

Diameter = 7cm

h = 4cm

Number of patients = 250

We have to find the total volume of soup required to serve all 250 patients.

Given is the diameter, which is equal to 7cm. Therefore, ${\displaystyle r=\frac{7}{2}cm=3.5cm}$

Volume of soup given to each patient = ${\displaystyle \pi r^{2}h}$

=${\displaystyle \frac{22}{7}\times 3.5\times 3.5\times 4}$

= 154 cm³

Volume of soup for all 250 patients = 154 × 250

=38500 cm³

We know that, 1000 cm³ = 1 litre.

Therefore,

Volume of soup for all 250 patients = 38.5 litres

Volume of soup for all 250 patients = 38.5 litres