A school provides milk to the students daily in 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, a school provides milk to the students daily in cylindrical glasses of diameter 7 cm.

The glass is filled with milk upto a height of 12 cm

We have to find the quantity of milk needed to serve 1600 students.

Volume of cylinder = πr²h

Where, r is the radius of cylinder

h is the height of the cylinder

Given, r = 7/2 = 3.5 cm

h = 12 cm

Volume of one glass = π(3.5)²(12)

= 22(3.5)(0.5)(12)

= 462 cm³

Volume of 1600 glasses = 1600(462)

= 739200

We know, 1 cm³ = 1000 litres

= 739200/1000

= 739.2 litres

Therefore, the quantity of milk required is 739.2 litres.

✦ Try This: A school provides milk to the students daily in cylindrical glasses of diameter 8 cm. If the glass is filled with milk upto a height of 11 cm, find how many litres of milk is needed to serve 1900 students.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13

NCERT Exemplar Class 9 Maths Exercise 13.3 Problem 6

A school provides milk to the students daily in 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.

Summary:

A school provides milk to the students daily in cylindrical glasses of diameter 7 cm. If the glass is filled with milk upto an height of 12 cm, 739.2 litres of milk is needed to serve 1600 students

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