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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 hospital has to prepare daily to serve 250 patients?


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Solution

Step 1: Calculate the volume of one soap:

The diameter of the bowl is D=7cm.

The radius of the bowl is r=D2.

r=72cm.

The height of the soap is h=4cm.

The volume of a cylinder can be given by, V=πr2h.

Thus the volume of the cylindrical soap is V=2277224cm3[π=227]

V=227×494×4cm3V=22×7cm3V=154cm3

Therefore, the volume of one soap is 154cm3.

Step 2: Calculate the total volume of the soup required daily

The volume of soup for one patient is 154cm3.

The total number of patients is 250.

The total volume of soup required daily is 154×250cm3=38500cm3.

Hence, the total volume of soup required daily is 38500cm3.


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