Question

A cube of copper of edge 11 cm is melted and formed into a cylindrical wire of diameter 0.5 cm. What lenght of wire will be obtained from the cube?

Answer 1

here the volume remains constant .metal wire is in cylindrical form
so vol of cube = vol of cylinder.
so
${a}^{3} = \pi {r}^{2} h$
a is side of cube..
r is radius of cylinder
h is height of cylinder..
11×11×11 = 3.14 × 0.25×0.25×h.
here r is 0.25 bcoz diameter is 0.5.
calculate h from the above .that will be the length