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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?

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Best answer

Let us first calculate the volume of barrel of pen that is of cylindrical shape

Consider barrel,

Since 1cm = 10 mm

Base diameter = 5 mm = 0.5 cm

Base radius, r = 0.25 cm

Height, h = 7 cm

We know that,

Volume of a cylinder = πr2h

Volume of barrel = π (0.25)27

Volume of barrel = 22/7 × 0.25 × 0.25 × 7 = 1.375 cm3

Hence, according to the question,

1.375 cm3 of ink can write 3300 words

No of words that can be written by 1 cm3 of ink = 3300/1.375 = 2400 words

1/5th of a liter = 0.2 L

We know that,

1 L = 1000 cm3

0.2 L = 200 cm3

So, no of words that can be written by 200 cm3 = 2400(200) = 480000 words

Therefore, 1/5th of a liter ink can write 480000 words.

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