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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?
`["Assume "pi=22/7]`
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Solution
Radius (r) of cylindrical bowl = (7/2)cm = 3.5cm
Height (h) of bowl, up to which bowl is filled with soup = 4 cm
Volume of soup in 1 bowl = πr2h
`=(22/7xx(3.5)^2xx4)cm^3`
= (11 × 3.5 × 4) cm3
= 154 cm3
Volume of soup given to 250 patients = (250 × 154) cm3
= 38500 cm3
= 38.5 litres.
Concept: Volume of a Cylinder
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