7. The barrel of a fountain pen, cylindrical in shape, is 7 cm long
5 mm in diameter. A full barrel of ink in the pen will be used in
writing 330 words on an average. How many words would use in
bottle of ink containing one fifth of a litre?
Answers
Answer:
Nice Question
Step-by-step explanation:
Given :-
- Height of barrel = 7cm
- Diameter of barrel = 5cm
- Full Barrel of Ink can write 330 words.
To find :-
How many words will use one fifth litre of ink.
Solution :-
We have been given the dimensions of the barrel. We have been given that the barrel full of ink writes 330 words.
We have not been given how many litres of ink is able write 330 words.
Therefore, we will find volume of the barrel which will tell us how much ink 330 words consume.
Since the barrel is cylindrical in shape,
Radius of barrel = diameter/2
= 2.5mm
Height of barrel = 7cm = 70mm
Volume = πr²h
= 22/7 × 2.5 × 2.5 × 70
= 1375 mm³
1 cm³ = 1000 mm³
1375 mm³ = 1.375 cm³
1 cm³ = 1 mL
1.375 cm³ = 1.375 mL
Now we know 330 words consume 1.375 mL.
one fifth of litre = 1000/5
= 200 mL
We have to find how many words we can write with 200 mL of ink.
137.5 mL can write = 330 words
1 mL can write = 330/1.375 words
Therefore, 200mL can write
= 330/1.375 × 200
= 48,000 words
Hope it helps!
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