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Q.

A fountain pen with a cylindrical barrel of diameter 3 cm and height 14 cm filled with ink can write 3600 words. How many words can be written with that pen using 220 ml of ink?
(take1cc = 1 ml)

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a

6,000

b

5,000

c

7,000

d

8,000

answer is D.

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Detailed Solution

Given, diameter = 3 cm
⇒Radius=3
2

=1.5cm
Height = 14 cm
Volume of cylindrical barrel =V =π r2h
⇒ V =22/7 × 1.52 ×14 2
⇒ V = 99 cm3 given that 1 cc = 1 ml
So 99 cm3 = 99 ml
A.T.Q → 99 ml ink can write 3600 words.
So that 220 ml of ink can write =3600 × 220/99
= 8,000
Hence, 220 ml of ink writes 8,000 words .

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