242 cubic centimeters of silver is drawn into a wire 2 mm in diameter. The length if the wire in met

M4maths Previous Puzzles

22 Aug 2019 Volume

242 cubic centimeters of silver is drawn into a wire 2 mm in diameter. The length if the wire in meters will be:

OPtion

1) 7.5cm
2) 77cm
3) 77mm
4) 7700m
5) 77000cm
6) 7.5m
7) 77m
8) 0.77mm
9) 770m
10) None of these

Solution

Let the length of the wire be h
Radius=2/2 mm = 1/10 cm
Volume = πr^2h= 242
=> (22/7)∗(1/10)∗(1/10)∗h = 242
=>h = (242∗10∗10∗7)/22 = 7700cm = 77m

Correct Option: 7 Best Solution (4)

SAYAN CHATTERJEE   5 years AGO

242= (3.14/4*0.2^2*h)
h= 7707cm
= 77 m
Option 7.

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Arkaprava Dutta   5 years AGO

Volume of cylindrical wire= (Pi)*(radius)^2 * height,
[Here height =length of the wire],

radius of the wire= 2/2= 1 mm= 0.001m (meter),

Here if the volume of the wire is= 242 cc
=242*(10)^-6 cubic meter.

=> 242*(10)^-6 = 22/7(Pi) * (0.001)^2 * length of wire,

or, Length of wire= 242*7/22 = 11*7 =77 m.

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Elizabeth Pothen   5 years AGO

Height = volume/ (π * r^2)
= 242/ ( π*0.1^2)
= 77 m

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kanchana P   5 years AGO

Ans

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