document.write( "Question 1128923: A lead ball is formed into a circular sheet. Find diameter of sheet.\r
\n" ); document.write( "\n" ); document.write( "Ball diameter; 2 in. \r
\n" ); document.write( "\n" ); document.write( "Sheet thickness; 0.01 in. \r
\n" ); document.write( "\n" ); document.write( "A ball is a sphere. \r
\n" ); document.write( "\n" ); document.write( "Volume; 4/3 * pi * r^3 \r
\n" ); document.write( "\n" ); document.write( "Area of circle; pi * r^2 \r
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\n" ); document.write( "\n" ); document.write( "4/3 * 3.1416 * 1^3 = 1.3333 * 3.1416 * 1^3 = 4.18869 cu. in. \r
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\n" ); document.write( "\n" ); document.write( "Unsure how to proceed. Non-homework.
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Algebra.Com's Answer #745458 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The circular sheet is a very thin cylinder, with height 0.01 inches.

\n" ); document.write( "Volume of lead ball (sphere): \"%284%2F3%29%28pi%29%28r%5E3%29+=+%284%2F3%29%28pi%29%281%5E3%29+=+%284%2F3%29%28pi%29\"

\n" ); document.write( "Volume of circular sheet (cylinder): \"%28pi%29%28r%5E2%29%28h%29+=+%28pi%29%28r%5E2%29%280.01%29+=+0.01%28pi%29r%5E2\"

\n" ); document.write( "The two volumes are the same:

\n" ); document.write( "\"%284%2F3%29pi+=+0.01%28pi%29r%5E2%29\"
\n" ); document.write( "\"4%2F3+=+0.01r%5E2\"
\n" ); document.write( "\"r%5E2+=+400%2F3\"
\n" ); document.write( "\"r+=+sqrt%28400%2F3%29\" = about 11.55 inches
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