Answer:
[tex]0.14\ lb/in^{3}[/tex]
Explanation:
Density is defined as mass ler unit volume, expressed as
[tex]\rho=\frac {m}{v}[/tex]
Where m is mass, [tex]\rho[/tex] is density and v is the volume. For a sphere, volume is given as
[tex]v=\frac {4\pi r^{3}}{3}[/tex]
Replacing this into the formula of density then
[tex]\rho=\frac {m}{\frac {4\pi r^{3}}{3}}[/tex]
Given diameter of 2.24 in then the radius is 1.12 in. Substituting 0.82 lb for m then
[tex]\rho=\frac {0.82}{\frac {4\pi 1.12^{3}}{3}}=0.13932044952427\approx 0.14 lb/in^{3}[/tex]
