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?
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?
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For volume of soup in a cylindrical bowl, use \( V = \pi r^2 h \), and remember to convert the units correctly.
Updated On: Aug 18, 2025
- 40 litres
- 38 litres
- 38.5 litres
- 39.5 litres
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The Correct Option is C
Solution and Explanation
The volume of soup for one patient is given by the volume of a cylinder:
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the bowl and \( h \) is the height. The radius is \( \frac{7}{2} = 3.5 \, \text{cm} \) and the height is 4 cm. Thus, the volume of soup for one patient is:
\[
V = \pi \times (3.5)^2 \times 4 = \pi \times 12.25 \times 4 = 154 \, \text{cm}^3
\]
Since \( 1 \, \text{L} = 1000 \, \text{cm}^3 \), the volume of soup for one patient is:
\[
\frac{154}{1000} = 0.154 \, \text{L}
\]
For 250 patients, the total volume of soup required is:
\[
250 \times 0.154 = 38.5 \, \text{litres}
\]
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