document.write( "Question 925258: A ball with a 22-in. circumference is tightly packed into a cubical box for shipment. (Round your answers to the nearest whole number.)
\n" ); document.write( "(a) What is the volume of the ball?
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\n" ); document.write( "\n" ); document.write( "(b) What is the smallest possible volume for the box?
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\n" ); document.write( "\n" ); document.write( "(c) What percent of the space in the box is occupied by the ball?
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Algebra.Com's Answer #561381 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A ball with a 22-in. circumference is tightly packed into a cubical box for shipment. (Round your answers to the nearest whole number.)
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\n" ); document.write( "Find the diameter of the ball::
\n" ); document.write( "pi*d = 22
\n" ); document.write( "diameter = 22/pi inches
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\n" ); document.write( " (a) What is the volume of the ball in cubic inches?
\n" ); document.write( "V = (4/3)pi*r^3 = (4/3)pi*(11/pi)^3 = (1774.67)/pi^2 in^3
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\n" ); document.write( "(b) What is the smallest possible volume for the box? in3
\n" ); document.write( "V = s^3 = (22/pi)^3 = 10648/pi^3 in^3
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\n" ); document.write( "(c) What percent of the space in the box is occupied by the ball?
\n" ); document.write( " [(4/3)pi*(11/pi)^3 / (22/pi)^3 = [(4/3)*11^3/p^2]/(22/pi)^3)
\n" ); document.write( "= [(4/3)*11^3*pi/22^3] = 52.36%
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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