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# Two crystal spheres of diameter x/2 are being packed in a

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Two crystal spheres of diameter x/2 are being packed in a [#permalink]  24 Sep 2006, 11:42
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Two crystal spheres of diameter x/2 are being packed in a cubic box with a side of x. If the crystal spheres are in the box and the rest of the box is completely filled with packing powder, approximately what proportion of the box if filled with packing powder? (The volume of a sphere of radius r is 4/3pi*r^3.)

A) 17/16
B) 1/8
C) 1/2
D) 3/4
E) 7/8

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Joined: 11 Jul 2006
Posts: 383
Location: TX
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E

(x^3 - 2*4/3*22/7*(x/4)^3)/x^3 = 73/84 appx equal to 7/8
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