Question

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

Answer 1

Answer:

h=4,949.5cm

Step-by-step explanation:

Edge of the metal cube=14cm

Diameter of cylindrical wire=0.84 cm

Therefore its radius=0.84/2=0.42cm

Volume of cylindrical wire=Volume of the metal cube

πr²h=s³

22/7×0.42×0.42×h=14³

22/7×0.1764×h=2744

h=2744×7/22×1/0.1764

h=19208/3.8808

h=4,949.49495

h=4,949.5cm

Answer 2

Answer:

length(l) = 4949.5 cm

Step-by-step explanation:

side(s) = 14 cm

radius(r) =0.84/2=0.42 cm

Volume of cylinder = Volume of cube

πr²l = s³

π*0.42²*l = 14³

π*0.1764*l = 2744

l = 2744*7/22*1/0.1764

l = 19208/3.8808

l = 4949.49

l = 4949.5 cm