Posted by **qay** on Sunday, May 15, 2011 at 4:06am.

A copper ball has a mass of 1kg.Calculate the radius of the ball,given that the density of copper is 8900kg m-3

- physics -
**Jai**, Sunday, May 15, 2011 at 4:34am
recall that the volume of a sphere (geometry of the ball) is given by

V = (4/3)πr^3

where

r = radius

π = 3.14 (constant)

thus to get radius, we need to first get the volume from the given mass and density.

recall that density is just mass per volume, or

d = m/V

substituting,

8900 = 1/V

V = 0.0001124 m^3

substituting these to volume of sphere,

0.0001124 = (4/3)πr^3

0.0001124 = (4/3)*(3.14)*r^3

r^3 = 0.0001124 / 4.187

r = cuberoot(0.00002684)

r = 0.02994 or approx 0.03 m

hope this helps~ :)

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