The mass of the sand must be equal to the mass of gold statue.
We know the density of gold and the shape of statue. We can calculate the volume of the status and then the mass by the equation
Density = Mass/Volume
The shape of statue is a cylinder and volume of cylinder = πr²h
r = 8 cm
h = 25 cm
So, the volume of gold status = 1600π
The mass of gold status thus will be:
Mass = Density x Volume = 1600π x 20 = 32000π g
The mass of sand must be equal to that of gold statue. So the mass of sand must be 32000π g.
So option D is the correct answer.
