Question

PLSE HELPPPPPPPPPPP

A solid sphere of diameter 8 cm is melted and drawn into a cylindrical wire of uniform width.If the length of the wire is 12 m, find its width.

Answer 1

Equate volumes.

Answer 2

The volume of the sphere is given by V = (4/3)*pi*r^3 where r = 4.

V = (4/3)*pi*(4)^3 --> Volume of Sphere

Answer 3

The volume of the cylindrical wire of uniform width is given by V = pi*r^2 * h
where h = 12.

V = pi*r^2 * (12) --> Volume of Cylinder

Answer 4

Volume of Sphere = Volume of Cylinder

(4/3)*pi*(4)^3 = pi*r^2 * (12)

Solve this equation for r, the radius of the base of the cylinder.
Double r to get the width of the wire.

@sumitra