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.

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