molecular mass of gold , m = 197 gm/mol
density , p = 19320 Kg/m^3
mass of gold , m = 4.7 * 0.197 Kg
m = 0.9259 Kg
NOw, let the diameter is D
as volume = mass/density
4pi/3 * (D/2)^2 = 0.9259/19320
solving for D
D = 0.00676 m = 0.676 cm
the diameter of sphere is 0.676 cm
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