Posted by Amy on Saturday, September 24, 2011 at 11:23am.
Two spheres are cut from a certain uniform rock.One has radius 4.50 cm.The mass of the other is five times greater. Find its radius.

Physics  Steve, Sunday, September 25, 2011 at 11:41pm
Since the rock is of uniform density, the ratio of the masses is the same as the ratio of the volumes.
V = 4/3 pi r^3
So, 5 * 4/3 pi r^3 = 4/3 pi * 5 r^3 = 4/3 pi * (cbrt(5)*r)^3
So, the new radius is cube root 5 times the old one.

Physics  Tracy, Thursday, September 10, 2015 at 10:13am
the Answer is not 4/3pi times the cubed root of 5 times the r^3...it is just cubed root 5 times the radius of 4.5
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