document.write( "Question 1034801: A sphere of ice cream is placed on your ice cream cone. Both have a diameter of 8 cm. The height of your cone is 12 cm. Will all the ice cream, fit into the cone if it melted? Show all data to support your conclusion.\r
\n" ); document.write( "\n" ); document.write( "If no, what would be the diameter of a sphere of ice cream that would fill the cone? (Nearest tenth of a centimeter)
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Algebra.Com's Answer #649619 by Cromlix(4381)\"\" \"About 
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Hi there,
\n" ); document.write( "Volume of a sphere
\n" ); document.write( "= 4/3 πr^3
\n" ); document.write( "= 4/3 π4^3
\n" ); document.write( "= 268.08 cm^3
\n" ); document.write( "Volume of cone
\n" ); document.write( "= 1/3πr^2h
\n" ); document.write( "= 1/3π4^2 12
\n" ); document.write( "= 201.06 cm^3
\n" ); document.write( "So melting ice cream would
\n" ); document.write( "over spill cone.
\n" ); document.write( "To fit in cone
\n" ); document.write( "4/3πr^3 = 201.06 cm^3
\n" ); document.write( "r^3 = 3(201.06)/4 (π)
\n" ); document.write( "r^3 = 48 cm
\n" ); document.write( "r = 3√48
\n" ); document.write( "r = 3.63
\n" ); document.write( "diameter = 7.27 cm
\n" ); document.write( "Hope this helps:-)
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