A Styrofoam Sphere of Radius R Has a Density ρ $\sqrt { 8 }$

Multiple Choice

A styrofoam sphere of radius R has a density ρ. You now carefully compress the sphere so its radius is R/2. What is the density of the compressed sphere?

A) 2 ρ
B) 4 ρ
C) ρ $\sqrt { 8 }$
D) ρ $\sqrt { 2 }$
E) 8 ρ