document.write( "Question 1204675: How many quarters will fit in a can that is 25.5 inches circumference and 8.5 inches tall? \n" ); document.write( "

Algebra.Com's Answer #841101 by Edwin McCravy(20065) $\"\"$ $\"About$

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document.write( "Let's assume the quarters are all uncirculated, in tall cylindrical \r\n" );
document.write( "stacks, standing vertically in the can.\r\n" );
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document.write( "By Googling, I have found these facts:\r\n" );
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document.write( "1. The official diameter of a quarter is 0.955 inches.\r\n" );
document.write( "2. The official thickness of a quarter is 0.069 inches.\r\n" );
document.write( "3. The maximum number of non-overlapping smaller circles of \r\n" );
document.write( "diameter d that will fit inside a larger circle of diameter D \r\n" );
document.write( "is the integer part of  \r\n" );
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document.write( "Since the circumference of the can is 25.5 inches, its diameter is\r\n" );
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document.write( " = 8.116902098 inches.  \r\n" );
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document.write( "The diameter of a quarter is 0.955 inches,\r\n" );
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document.write( "so using the formula,\r\n" );
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document.write( "So 72 stacks of quarters can be placed in the can.  \r\n" );
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document.write( "Now since the can is 8.5 inches tall, and a quarter has thickness 0.069 inches,\r\n" );
document.write( "we see how many quarters are in each stack. \r\n" );
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document.write( "So there are 123 quarters in each stack.  So we multiply that by 72 stacks\r\n" );
document.write( "and get 8856 quarters. [worth $2214]\r\n" );
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document.write( "Edwin

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