Question

A patient in a hospital is given soup daily in a cylindrical bowl of diameter $7cm$. If the bowl is filled with soup to a height of $4cm$, then find the quantity of soup to be prepared daily in the hospital to serve $250$ patients.

• A. $38.5$ litres
• B. $3.5$ litres
• C. $8.5$ litres
• D. None of these

Answer 1

The correct option is A $38.5$ litres

Given

Diameter $=7cm\Rightarrow 2r=7cm$

Radius $r=3.5cm$

Height $h=4cm$

Quantity of soup in $1bowl=Volumeofonecylindricalbowl$

$=\pi r^{2}h$

$=\frac{22}{7}\times (3.5{)}^2\times 4$

$=154c{m}^3$

Quantity of soup prepared in $250bowls=250\times 154$

$=38500c{m}^3$

$=38500\times 0.001$ $\because 1c{m}^3=0.001litres$

$=38.5litres$

Hence, this is the answer.