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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

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प्रश्न

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.

योग

उत्तर

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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अध्याय 13: Surface Area & Volumes - Exercise 13.3 [पृष्ठ १२७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
अध्याय 13 Surface Area & Volumes
Exercise 13.3 | Q 6. | पृष्ठ १२७

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