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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 ?

a) 38L
b) 40L
c) 39.5L
d) 38.5L

Answer: d
Explanation: Diameter of bowl = 7 cm
Radius of bowl = $$\frac{2}{7}$$ cm
Height = 4 cm
Volume of cylindrical bowl :
$$\eqalign{ & = \pi {r^2}h \cr & = \frac{{22}}{7} \times \frac{7}{2} \times \frac{7}{2} \times 4 \cr & = 154\,cu.cm \cr} $$
Hence, volume of soup for 250 patients :
$$\eqalign{ & = 154 \times 250 \cr & = 38500{\text{ c}}{{\text{m}}^3} \cr & = 38.5{\text{L}} \cr} $$

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