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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 upon writing 3300 words on average. How many words can be written in a bottle of ink containing one-fifth of a liter?

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48000

49000

50000

47000

answer is A.

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Detailed Solution

Given that the barrel of a fountain pen is cylindrical in the shape with

h = 7

cm and

d = 5 m m

= 0.5 cm.
A full barrel of ink in the pen will be used up on writing, N=330 words on an average.
Now, radius:

r = d 2 r = 52 r = 2.5 mm r = 0.25 cm

Calculating the volume of a barrel by using the formula,

V = π r 2 h

c m 3

Now, the volume of the ink in the bottle is:

2 − 0.5 = 1.5

Calculating the required number of words by using the volume of one barrel and volume of ink.

n = V V × N n = 200 1.375 × 3300 n = 145.45 × 3300 n = 48000

Therefore, 1 is the correct option.

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