Question

A sphere of radius 6cm is moulded into a thin cylindrical wire of length 32cm. Calculate the radius of the

wire in SI Units

Answer 1

4/3 pi R^3 = pi r^2 L equating volume of sphere and wire

r = (4 R^3 / 3 * L)^1/2 solving for radius of wire

r = (4 * 6^3 / 3 * 32)^1/2

r = 9^1/2 cm = 3 cm = .03 meters