Question

A metal cube of edge 14cm is melted and drawn into the shape of a cylindrical wire of diameter 0.84 cm. what length of wire can be obtained?????????

​

Answer 1

Answer:

The length of the cylindrical wire is 4951.49 cm.

Step-by-step explanation:

Given:

Edge length of metal cube = 14 cm

Diameter of cylindrical wire = 0.84 cm

To find out:

The length of the wire.

Solution:

The metal cube is melted into a shape of a cylindrical wire. There is not any change in volume. That is the volume of the cube is equal to the volume of the cylindrical wire.

⇒ Let the edge length of the cube be 'a', then the volume of the cube can be found by the following formula.

      V = a³

By substituting,

      V = 14³

         = 2744 cm³

⇒ The formula to find the volume of the cylinder is given by,

     $V =\pi r^2h$

 r → Radius of the cylinder

 h → Height of the cylinder or the length of the cylinder.

We want to find the value of 'h'. Therefore,

     $h=\dfrac{V}{\pi r^2}$

$Radius =\dfrac{Diameter}{2}=\dfrac{0.84}{2}$

          = 0.42 cm

 π = 3.14

 V = 2744 cm³

By substituting,

   $h=\dfrac{2744}{3.14 (0.42)^2}$

  h = 4951.49 cm

Hence the length of the cylindrical wire is 4951.49 cm.

Answer 2

Step-by-step explanation:

answer is in upper pic

mark me as brainliest