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 ?
Options:
A . 38L
B . 40L
C . 39.5L
D . 38.5L
Answer: Option D 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 : $$\eqalign{ & = 154 \times 250 \cr & = 38500{\text{ c}}{{\text{m}}^3} \cr & = 38.5{\text{L}} \cr} $$
Submit Comment/FeedBack