Question

a cube of metal each of whose sides 3.5 cm is melted to form a cylinder wire of radius of 2 cm. find the length of the wire so obtained.​

Answer 1

Answer:

The length of the wire is 0.975cm.

Step-by-step explanation:

Side of the cube = 3.5cm      (Given)

Radius of wire = 2 cm            (Given)

Let the length of the wire be given by 'h'

After melting the cube, the dimensions will change but the volume will remain the same.

Therefore, Volume of the cube = Volume of the wire

                                         (side)² = π r² h

                                          (3.5)² = 3.14 × 2²× h

                                                 h = $\frac{3.5*3.5}{3.14*4}$

                                                 h = 0.975cm

Therefore the length of the wire is 0.975cm.

Answer 2

Answer:

Step-by-step explanation: