Question

Question 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? $[Assume\pi =\frac{22}{7}]$

Answer 1

Radius (r) of the cylindrical bowl $=(\frac{7}{2}cm=3.5cm)$
Height (h) of the bowl, up to which bowl is filled with soup = 4 cm
Volume of the soup in1 bowl $=\pi r^{2}h$
$(\frac{22}{7}\times (3.5{)}^2\times 4)c{m}^3$
$=(11\times 3.5\times 4)c{m}^3$
$=154c{m}^3$
Volume of the soup given to 250 patients $=(250\times 154)c{m}^3=38500c{m}^3$
= 38.5 litres.