Question

Question 6
A school provides milk to the students daily in cylindrical glasses of diameter 7 cm. if the glass is filled with milk upto a height of 12 cm, find how many litres of milk is needed to serve 1600 students.

Answer 1

Given, diameter of the glass = 7 cm
Radius of the glass,
$r=\frac{7}{2}$ cm
$\therefore$ Milk contained in the cylindrical glass = Volume of the cylindrical glass
$=\pi r^{2}h=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 12=462c{m}^3$

Now, milk required for 1600 students
= $milkrequiredbyonestudent\times numberofstudents$
$=462\times 1600=739200c{m}^3$
$=\frac{739200}{1000}=739.2L$ $[\because 1c{m}^3=\frac{1}{1000}L]$

Hence, 739.2 L milk is needed to serve 1600 students.