Question

A patient in a hospital is given soup daily in a cylindrical tumbler of diameter $7cm$. If the tumbler is filled with soup to a height of $4cm$, how much soup does the hospital have to prepare daily to serve $250$ patients?

• A. $38500litres$
• B. $385litres$
• C. $3850litres$
• D. $38.5litres$

Answer 1

The correct option is D $38.5litres$

Diameter of the cylindrical tumbler = 7 cm

$\therefore$ Radius (r) = $\frac{7}{2}$ cm

Height of soup in it = 4 cm

$\therefore$ Volume of soup in one tumbler for one patient

=$\pi r^{2}h=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 4c{m}^3=154c{m}^3$

$\therefore$ Volume of soup for 250 patients = 154 $\times 250c{m}^3$

= 38500 $c{m}^3$

=$\frac{38500}{1000}$ litres = 38.5 litres