Aptitude - Volume and Surface Area - Discussion

Discussion Forum : Volume and Surface Area - General Questions (Q.No. 4)
4.
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
84
90
168
336
Answer: Option
Explanation:

Let the length of the wire be h.

Radius = 1 mm = 1 cm. Then,
2 20

22 x 1 x 1 x h = 66.
7 20 20

h = 66 x 20 x 20 x 7 = 8400 cm = 84 m.
22

Discussion:
35 comments Page 2 of 4.

Megha said:   1 decade ago
Still I didn't get how we get 1/20? Please explain me step by step.

Rohini said:   1 decade ago
They have given d diameter. But we need radius. So when 1 mm is divided by 2, we get 1/2 mm and to convert mm into cm we have to multiply it by 10.

Therefore, 1/2 multiply by 10, we get 1/20.
(1)

Uma said:   10 years ago
How we know that the wire convert into cylinder form, may be its convert other shapes.

Adil said:   10 years ago
Please tell the formula.

Archana said:   9 years ago
@Adil.

Formula of volume of cylinder is Pi * r * r * h.

Avani said:   9 years ago
@Rashmi, @Megha.

1cm=10mm.
? =1/2mm.
Cross multiplication

1/2 * 1/10.
= 1/2 * 10.
= 1/20 m.

Aboo farhan said:   9 years ago
We know that d = 2r then r = d/2mm and here d is given 1mm and 1mm convert in cm then r = 1/20cm.

Amit said:   9 years ago
1/2 * 10 = 5 >_<.

But.

1/2 = .5 mm.

And to convert it into cm we have to divide it by 10.

So, .5/10 = .05cm.

5/100 = 1/20 cm.

Amit said:   9 years ago
1/2 is divided by 10.

1/2/10 = 1/2/10 (1/2/10/1 same thing).

Then.

1/2 * 1/10 = 1/20.

Suhani bajpai said:   9 years ago
What is meant by 66 cubics? and why is it equal to the volume of a cylinder?


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