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

Question

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

Answer 1

The volumes of the original cube and the resulting wire must be the same.

The cube volume is its edge raised to third degree, (14 cm)³ =14³ cm³= 2744 cm³.

A volume of a cylinder is L*π*r², where L is its length and r is its radious.

Hence we get an equality: L*π*(0.84 cm)²=2744 cm³.

It should be solved for L.

Answer 2

volume of cube = s³ where s is the side length

 

Volume of cylinder = pi*r²*l  where r is the cylinder's radius and l is its length

 

The volumes of the cube and the cylindrical wire must be the same.  You know s, pi, and r.  Set the two volumes equal and solve for l.