SOLUTION: There are two similar balls, one has radius of 3cm and it weighs 2kg, the second ball has radius of 12cm, how much does it weigh? Really struggling with this problem, help!!

Algebra ->  Volume -> SOLUTION: There are two similar balls, one has radius of 3cm and it weighs 2kg, the second ball has radius of 12cm, how much does it weigh? Really struggling with this problem, help!!      Log On


   

Question 893214: There are two similar balls, one has radius of 3cm and it weighs 2kg, the second ball has radius of 12cm, how much does it weigh? Really struggling with this problem, help!!
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
removed; replacing with:

%28%284%2F3%29pi%2A3%5E3%29%2F%282%29=%28%284%2F3%29pi%2A12%5E3%29%2Fm
Unit for each ratio is %28cm%5E3%29%2Fkilogram;
Solve for m.

The first ratio gives the density of the ball material.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
There are two similar balls, one has radius of 3cm and it weighs 2kg, the second ball has radius of 12cm, how much does it weigh?
-------
If by similar you mean the same material:
Volume is a function of the radius cubed.
Vol+=+4%2Api%2Ar%5E3%2F3
12 cm = 4* 3 cm
Vol = 4^3* vol = 64 times
2*64 = 128 kg