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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?

Q: 8    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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Given,

Height = $h = 4\ cm$

The radius of the cylindrical bowl  = $r_1 = \frac{7}{2}\ cm = 3.5\ cm$

$\therefore$ The volume of soup in a bowl for a single person = $\pi r^2 h$

$\\ = \frac{22}{7}\times (3.5)^2 \times4 \\ = 88\times0.5\times3.5 \\ = 154\ cm^3$
$\therefore$ The volume of soup given for 250 patients = $(250 \times 154)\ cm^3$
$\\ = 38500\ cm^3 \\ = 38.5\ litres$

Therefore, the amount of soup the hospital has to prepare daily to serve 250 patients is $38.5\ litres$

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