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A uniform lead sphere and a uniform aluminium sphere have the same mass what is the ratio of the radius of aluminium sphere to the radius of the lead sphere?
Wiki User
∙ 12y ago
d=m/v
v= (4/3)(pi)(r^3)
set up equation for aluminum and lead
11.3*10^3=m/( (4/3)(pi)(ri^3))
2.7*10^3=m/( (4/3)(pi)(ra^3))
solve for m. then set two equations equal to each other, since they have the same masses. finally, solve your new equations for ra/ri
11.3*10^3( (4/3)(pi)(ri^3)) =m
2.7*10^3( (4/3)(pi)(ra^3)) =m
11.3*10^3( (4/3)(pi)(ri^3)) = 2.7*10^3( (4/3)(pi)(ra^3))
11.3*10^3/2.7*10^3 = (ra^3)/(ri^3)
(11.3*10^3/2.7*10^3)^(1/3)=ra/ri
Wiki User
∙ 12y ago
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