a fountain pen with a cylindrical barrel of diameter 2 cm and height 10.5 cm, filled with ink, can write 3300 words. how many words can be written with that pen using 100 ml of ink? (take 1 cc=1 ml).
Answers
Step-by-step explanation:
Cylindrical barrel's diameter =3 cm
∴ radius =1.5 cm
Also given, height =14 cm
Volume of cylindrical barrel = V=πr2h
V=722×1.52×14
V=99cm3
As 1 cc =1 ml
99cm3=99 ml
As 99 ml ink can write 3600 words
So, 220 ml of ink can write =3600×99220=8000 words.
Hence, answer (D) is 8000.
A fountain pen with a cylindrical barrel of diameter 2 cm and height 10.5 cm, filled with ink, can write 3300 words. How many words can be written with that pen using 100 ml of ink? (take 1 cc=1 ml).
Final answer: 10000 words can be written with that pej using 100 ml of ink.
Step-by-step explanation:
Cylindrical barrel's diameter - 2 cm.
As we know,
Distance between the center of the circle to its circumference is the radius. The diameter is always double the radius. Hence, the formula is derived by dividing the diameter by 2.
Radius = Diameter/2
= 2/2
= 1
Therefore, the radius is 1 cm.
Also given, height = 10.5 cm.
Volume of the cylindrical barrel = πr²h
Value of π is 22/7
So, V = 22/7×1²×10.5
=33 cm³
As, 1 cc = 1ml
33 cm³ = 33 ml
Means,
33 ml ink can write 3300 words.
So, 100 ml. Ink can write 3300×100/33
=10000 words.
Hence, 10000 words can be written with that pen using 100 ml of ink.
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