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 1 of 4.

Anju said:   1 decade ago
From where d 22/7 came?

Richa said:   1 decade ago
Its formula pai*r^2*h.

Pai's value is 22/7.

I'm not gettng the sign of pai in computer. Ok.

Rakesh said:   1 decade ago
When 1mm diameter is converted into radius it is .5 mm or .5/1000 meter.

Prasad said:   1 decade ago
Simple. The volume is given in mm and the length in meters. Hence the length should be minimal.

Rashmi said:   1 decade ago
Can anybody say me how did we get 1/20?

Deepi said:   1 decade ago
@ Rashmi,
1cm=10milimeter
to convert mm into cm we have to multiply it by 10

Ayush said:   1 decade ago
Please tell why the shape of wire is considered as cylinder?

Mystery said:   1 decade ago
@Ayush.

Because the wire is so small people don't tend to think of it as a cylinder but it is.

It is long and has very small radius!

Hi everybody said:   1 decade ago
Actaully wire is of the form:: CYCLINDER

we know,
volume of cyclinder = π*r^2* h----------- (1)

r-radius
h-height(lenth)
Given
Diameter(d)=1mm
so r=d/2
r=(1/2)mm
r=(1/20)cm

Substitute in Eqn (1)

22/7 * (1/20)^2 *h =66 (given)

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

Gautam singh said:   1 decade ago
1cm = 10 millimeter.

To convert km into cm we have to multiply it by 10.


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