Dimensional analysis. Please check my working

1. The problem statement, all variables and given/known data
Two spheres are cut from a certain uniform rock. One has radius 4.30 cm. The mass of the other is six times greater. Find its radius.

2. Relevant equations
v = (4/3)(pi)(r)^3
m = vp

3. The attempt at a solution
6[(4/3)(pi)(r1)3] = (4/3)(pi)(r2)3
8(pi)(r1)3 = (4/3)(pi)(r2)3
6(r1)3 = (r2)3
6(4.3)(1/3) = 9.7568

9.76 cm

I got this question wrong for some reason… Where is my mistake…?


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