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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.1 in Chapter 17 - Mensuration
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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.
Solution:
The capacity of a cylinder, which determines how much material it can carry, is determined by the cylinder's volume.
Given diameter of the cylindrical glass, d = 7 cm
Radius, r = d/2 = 7/2 = 3.5 cm
Height of the cylindrical glass, h = 12 cm
Volume of the cylindrical glass, V = π r2h
= (22/7)×3.52×12
= 462 cm3
Number of students = 1600
Milk needed for 1600 students = 1600×462
= 739200 cm3
= 739.2 litres [∵1000 cm3 = 1 litre]
Hence the amount of milk needed to serve 1600 students is 739.2 litres. 
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