Question

The diameter of a sphere is 6 cm. it is melted and drawn into a wire of diameter 2mm. Find the length of the wire.

Answer 1

Answer:

here is your answer and once try to solve it yourself

Answer 2

Volume of sphere:

radius, r = 6/2 = 3 cm

Volume = 4/3 × πr³

Volume = 4×9×π

Volume = 36π cm³

Volume of wire:

length = h

radius = 2mm/2 = 1mm or 0.1 cm

Volume = πr²h

Volume = π×0.1×0.1×h

Volume = 0.01πh cm³

Volume of sphere = Volume of wire { sphere is melted to form wire }

36π = 0.01πh

Cancel π both sides

36 = 0.01h

h = 36/0.01

h = 3600 cm

h = 36 m

Hence, Length of wire is 36 m