document.write( "Question 1071194: A wooden cube with a volume of 45cm3 is carved into the largest sphere possible. What is the volume of wood which must be carved off? \n" ); document.write( "

Algebra.Com's Answer #686122 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A wooden cube with a volume of 45cm3 is carved into the largest sphere possible. What is the volume of wood which must be carved off?
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\n" ); document.write( "The side and the diameter of the sphere: $\"45%5E%281%2F3%29\"$ = 3.5569 cm
\n" ); document.write( "then
\n" ); document.write( " $\"3.5569%2F2\"$ = 1.7784 cm is the radius
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\n" ); document.write( "Find the volume of the sphere
\n" ); document.write( "V = $\"4%2F3\"$ $\"pi%2A1.7784%5E3\"$
\n" ); document.write( "V = 23.56 cu/cm is the volume of the sphere
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\n" ); document.write( "45 - 23.56 = 21.34 cu/cm of wood has to be removed \n" ); document.write( "

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