document.write( "Question 1087585: An ice cream cone has radius 1 inch and height 4 inches, What is the number of inches in the radius of a sphere of ice cream which has the same volume as the cone? \n" ); document.write( "
Algebra.Com's Answer #701927 by ikleyn(52794)\"\" \"About 
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document.write( "The volume of the cone is  \"V%5Bcone%5D\" = \"%281%2F3%29%2Api%2A1%5E2%2A4\".\r\n" );
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document.write( "The volume of the sphere is \"V%5Bsphere%5D\" = \"%284%2F3%29%2Api%2AR%5E3\".\r\n" );
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document.write( "They want you find the radius of the sphere  R  under the assumption that\r\n" );
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document.write( "\"V%5Bcone%5D\" = \"V%5Bsphere%5D\",   or\r\n" );
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document.write( "\"%281%2F3%29%2Api%2A1%5E2%2A4\" = \"%284%2F3%29%2Api%2AR%5E3\".\r\n" );
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document.write( "It leads to the equation\r\n" );
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document.write( "\"4\" = \"4%2AR%5E3\",  which  implies  \"R%5E3\" = 1.\r\n" );
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document.write( "Hence, R = 1.\r\n" );
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document.write( "Answer. The equivalent radius of the sphere is 1 inch.\r\n" );
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