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in Surface Areas And Volumes by (56.3k points)

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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Best answer

Radius of cylindrical bowl (R) = diameter/2

= \(\frac{7}{2}\) cm 

= 3.5 cm

Height = 4 cm 

Now, 

Volume of soup in 1 bowl = πr2

= \(\frac{22}{7}\) x 3.52 x 4 cm3 

= 154 cm3 

Volume of soup in 250 bowls = (250 x 154) cm3 

= 38500 cm3 

= 38.5 liters 

Thus, hospital has to prepare 38.5 liters of soup daily in order to serve 250 patients.

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