Question

A cube of metal whose each edge is 4cm is melted to form a cylindrical wire of radius 1/10 cm.Find the length of wire​

Answer 1

Answer:

20.3636 m

Step-by-step explanation:

In order to find the length of the wire, we need to find the volume of the cube and compare that to the dimensions of the cylinder as both their volumes are equal.

So volume of cube = a³

= 4 x 4 x 4

= 64 cm³

Now, the volume of a cylinder = πr²h

= 22/7 x 0.1 x 0.1 x h = 64

= 0.22h/7 = 64

= 0.22h = 448

= h = 448/0.22 = 2036.36 cm

So the  length of wire = 20.3636 m