Question

If a sphere of diameter 8 cm is melted and cast into a wire of diameter 3 mm then find the length of wire in meter

Answer 1

Here we have been given

Diameter of sphere = 8cm

∴ Radius =

              = 4cm

For cylinderical wire,

Diameter = 3mm

∴ Radius =

               = 1.5 mm = 0.15 cm

Let the length of the wire be x cm

So according to the question,

Volume of cylinderical wire = Volume of sphere

     ⇒     =

     ⇒    

     ⇒    

     ⇒    

    ⇒       cm

    ⇒