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# ps geometry

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Senior Manager
Joined: 30 May 2005
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ps geometry [#permalink]  24 Aug 2005, 04:11
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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
Manager
Joined: 28 Jun 2005
Posts: 217
Followers: 1

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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
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