Question

a solid cube of metal each of whose sides measures 2.2cm is melted to form a cylindrical wire of radius 1mm. find the length of the wire so obtained

Answer 1

Answer:

3.39 m

Step-by-step explanation:

Side of the cube = 2.2 cm

Let the side of the cube be a

Volume of cube = a³

                           = (2.2)³

                           = 10.648 cm²

Radius of the cylindrical wire = 1 mm = 0.1 cm

Volume of the cube = Volume of the cylindrical wire

                     10.648 = πr²h

                                  = 3.14 × (0.1)² × h

                                   = 3.14 × 0.01 × h

                       10.648 = 0.0314 × h

                                 h = 10.648 ÷ 0.0314

                                     = 339.1 cm

                                      = 3.39 m