#169 Two spheres are cut from a certain uniform rock

Two spheres are cut from a certain uniform rock - Physics

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Free Chegg Question

Two spheres are cut from a certain uniform rock. One has radius 4.05 cm. The mass of the other is six times greater. Find its radius in cm.
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Free Chegg Answer

mass= density x volume
density remain the same for both because from the same rock
m2=6m1
Dxv2=6Dxv1
v2=6v1
(4/3)*pi*r1^3=6*(4/3)*pi*r2^3
r1^3=6*r2^3
r1=7.36 cm