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Question
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) = πr2h
= `22/7 xx (3.5)^2 xx 12`
= `22/7 xx 12.25 xx 12`
= 22 × 1.75 × 12
= 462 cm2
Quantity of milk needed for 1600 students = (462 × 1600) cm3
= 739200 cm3
= `739200/1000` litres
= 739.2 litres
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