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ps geometry [#permalink] New post 24 Aug 2005, 05:11
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:) hello


On completely immersing a solid metal sphere into a cylindrical bucket partially filled with water, the level of water rose 1cm without overflow. If the internal radius of the bucket is 6cm, what is the radius of the sphere?
a) 0.5
b) 1
c) 2
d) 3


thanks
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 [#permalink] New post 24 Aug 2005, 06:04
d is the answer;

vol of sphere=vol of cylinder after immersing the sphere-vol of cylinder before

4/3*pi*r^3=pi*r1^2*(h+1)-pi*r1^2*h

we know r1=6cm

solve for r
  [#permalink] 24 Aug 2005, 06:04
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