Question

a cube of Edge 33 cm is melted and formed into a cylindrical wire of diameter 0.5 cm. what length of wire will be obtained from the cube?

Answer 1

Concept Behind This Question Is All About Equality Of Volume, Which Is Given Below:-

Here, the cube is melted into a cylindrical wire, which means that their volumes are equal

So, length of edge of cube=33 cm

Diameter of the cylinder=0.5 cm

So, ATQ:-

πr²h=a³

22/7×(0.5/2)²×h=33³

11/56×h=35937

h=35937×56/11

h=182952

So, the length of the wire is 182952 cm, which is equal to 1829.52 m

Answer 2

volume of cylindrical wire=volume of cube

volume of cube =side^3=33^3
volume of cylindrical wire =πr^2h=π(0.5/2)^2

So,
π(0.5/2)^2.length of wire=33^3
length of wire=182952cm=1.82952 km