Question

A thief plans to steal a gold sphere with a radius of 28.5 cm from a museum. if the gold has a density of 19.3 g/cm3, what is the mass of the sphere in pounds? [the volume of a sphere is v=(4/3)Ïr3.]

Answer 1

Radius of gold sphere radius r=28.5
The volume of the sphere is =4/3*3.14*r*r*r.
=1.01*10^5 cm^3.
The density of gold is 19.3 g/cm^3.
The relation between the density, volume, and mass
Density=Mass/Volume.
1.95*10^6 g=Mass
1.95*10^6 g *0.0022 pounds
4.29*10^3 pounds.
Hence mass of the sphere is 4.29*10^3 pounds.