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

Sum

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

#### Solution

Given: Diameter of cylinder glass = 7 cm

Glass is filled with milk upto an height of 12 cm.

Radius of cylinder glass = "Diameter"/2 = 7/2 = 3.5 cm

Volume of cylinder glass (V) = pir^2h

= 22/7 xx (3.5)^2 xx 12

= 22/7 xx 12.25 xx 12

= 22 xx 1.75 xx 12

= 462 cm2

Quantity of milk needed for 1600 students = (462 xx 1600) cm3

= 739200 cm3

= 739.2 litres

Concept: Volume of a Cylinder
Is there an error in this question or solution?

#### APPEARS IN

NCERT Mathematics Exemplar Class 9
Chapter 13 Surface Area & Volumes
Exercise 13.3 | Q 6 | Page 127