Posted by jenna on Tuesday, October 5, 2010 at 12:44am.
R = outer radius
r = inner radius (of spherical cavity)
Sphere weight = buoyancy force
(4/3) pi (R^3 - r^3)*(density of Al)*g
= (4/3) pi R^3 * (density of water)*g
(4/3) pi R^3 * (density of water)
= 1.22 kg
(Use the second equation to solve for R)
The (4/3) pi g cancels out in the first equation.
1 - (r/R)^3
= (water density)/(Al density)
Look up the densities and solve
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