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Question 4
The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 mm in diameter. A full barrel of ink in the pen is used up on writing 3300 words on an average. How many words can be written in a bottle of ink containing one fifth of a litre?


Solution

Given length of the barrel of a fountain pen = 7 cm
And diameter
=5 mm=510 cm  (10 mm=1 cm)=12 cm 

Volume of the barrel =πr2h                                        
[Since, its shape is cylindrical]
=227×(0.25)2×7     (radius=.025cm)=22×0.0625=1.375 cm3

Also given volume of ink in the bottle = 15 of litre =15×1000 cm3=200 cm3    (1 litre= 1000cm3)

Now  1.375 cm3 ink is used for writing number of words = 3300

1 cm3 ink is used for writing number of words
=33001.375

200 cm3 ink is used for writing number of words
=33001.375×200=480000

Mathematics
NCERT Exemplar
Standard X

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