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11. 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 will be used up when writing 310 words on an average.
How many words would use up a bottle of ink containing one-fifth of a litre?
Answer correct to the nearest 100 words.​

Answer 1

Answer:

4800

Step-by-step explanation:

Volume of a barrel =

7

22

×0.25×0.25×7=1.375 cm

3

Volume of ink in the bottle =

5

1

litre =

5

1000

=200 cm

3

Therefore, total number of barrels that can be filled from the given volume of ink =

1.375

200

So, required number of words =

1.375

200

×330=48000

Answer 2

Height of the barrel = h = 7 cm

Radius of the barrel = r = 2.5 mm = 0.25

i.e., 1.375 cm3 of ink is used for writing 330 words

Now, number of words that could be written with one-fifth of a litre, i.e., cm3 =

∴ 48000 words would use up a bottle of ink containing one-fifith of a litre.

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