Assume you had a silver sphere with a mass of 1.50 kg. Calculate the diameter of the sphere

Question

Assume you had a silver sphere with a mass of 1.50 kg. Calculate the diameter of the sphere (in cm). The density of silver is 10.5 g/cm3. The formula for the volume of a sphere is . . . V = 4/3r3. 

Answer 1

density = mass/volume

 

10.5 = 1500 gm/volume; volume = 1500 gm/10.5 gm/cm³ = 142.9 cm³

 

volume of sphere, V = 4/3 pi*r³

 

Therefore r = (3/4*V/pi)^1/3  = 3.24 cm; hence diameter = 2*r = 6.48 cm