Question

A cube of volume 27m3 drawn into a wire of diameter 0.2 m. Find length of the wire.
step-by-step​

Answer 1

Question ✍️✍️:-

A cube of volume 27m3 drawn into a wire of diameter 0.2 m. Find length of the wire

Answer ✍️✍️:-

Volume of copper =1cm

3

Length of wire = x

Radius =0.1 mm

Volume of wire = volume of copper

⇒πr

2

h=1cm

3

⇒π(

10

0.1

)(

10

0.1

)h=1

⇒h=

0.7×0.1×π

10×10×100

=3183cm

⇒h=31.83m.

Answer 2

Answer:

859.87m

Step-by-step explanation:

Diameter = 0.2 ==> Radius = 0.2/2 = 0.1

Volume of cylindrical wire = πr²h = 3.14 x 0.1x0.1x length

According to question

Volume of cube = Volume of wire cylinder = 27 m³

Therefore

3.14 x 0.1 x 0.1 x length = 27

Length = 27/0.0314 = 859.87 m