The barrel fountain pen cylindrical in shape is 7cm long and 5mm in diameter.A full barrel of ink in the pen is used up in writing 330 words.On an average how many words would be used up a bottle of ink containing 1/5th of a litre?
Answers
Answer:
Given length of cylindrical shaped barrel = 7 cm
Diameter of barrel = 5 mm =
10
5
cm
∴ Radius of barrel =
20
5
=
4
1
cm
Volume of cylindrical barrel = πr
2
h
=
7
22
××(
4
1
)
2
×7=1.375cm
3
Now, volume of ink in the both =
5
1
th
of 1 l
=
5
1000
cm
2
(∵1l=1000cm
3
)
=200cm
3
Now, one fall barrel can white 330 words
⇒1.375cm
3
of ink white 330 words.
∴200cm
3
of ink can white =
1.375
330
×200 words
= 48000 words
Step-by-step explanation:
Answer:
48000 words
Step-by-step explanation:
We know that:
Volume = πr²h
1 cm = 10 mm
1 litre = 1000 ml
1 ml = 1 cm³
Convert 5mm to cm:
5mm = 0.5 cm
Find the volume of the barrel:
Volume = π(0.5 ÷2)²(7) = 1.375 cm³
Find the volume in litres:
1.375 cm³ = 1.375 ml
Given that 1 barrel can write 330 words:
1.375 ml = 330 words
1 ml = 240 words
Convert 1/5th litres to ml
1 litre = 1000ml
1/5 litre = 1000 x 1/5 = 200 ml
Find the number of words for 1/5 litres:
1 ml = 240 words
200 ml = 240 x 200 = 48000 words.