Phys 2211 Question

The density of aluminum is 2.70x10^3 km/m^3, the density of iron is 7.86x10^3 kg/m^3. Find the radius of a solid iron sphere that balances a solid aluminum sphere of radius 2.86cm on an equal-arm balance.

my work:

(4/3)(pi)(.286m)^3 = .000098m^3 for volume X weight = .264576kg

.264576/7.86x10^3 = .000034

(4/3)(pi)(RADIUS)^3 = .000034

Radius = .020029945725539 blah blah METERS--

can someone help check this for me? (remember to covert cm to m!)

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