# A Patient in a Hospital is Given Soup Daily in a Cylindrical Bowl Diameter 7 Cm. If the Bowl Filled with Soup to a Height of 4 Cm, How Much Soup Hospital Has Prepare Daily to Server 250 Patients? - Mathematics

Numerical

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?

#### Solution

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, r = 7/2 cm = 3.5 cm

Volume of soup given to each patient = pir^2h

=22/7 xx 3.5 xx 3.5 xx4

= 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

Concept: Surface Area of Cylinder
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.2 | Q 6 | Page 21

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