document.write( "Question 1170533: .An inverted square pyramid has a height equal to 8m and a top edge equal to 3m. Initially, it contains water to a depth of 5m.\r
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Algebra.Com's Answer #795381 by ikleyn(52788)\"\" \"About 
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\n" ); document.write( "An inverted square pyramid has a height equal to 8m and a top edge equal to 3m. Initially, it contains water to a depth of 5m.
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document.write( "The full volume of the pyramid is  V = \"%281%2F3%29%2Aa%5E2%2Ah\" = \"%281%2F3%29%2A3%5E2%2A8\" = 3*8= 24 m^3.\r\n" );
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document.write( "The volume occupied by water is  \"%285%2F8%29%5E3%2AV\" = \"%285%2F8%29%5E3%2A24\" = 5.589 m^3.        ANSWER to question (a)\r\n" );
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document.write( "The empty volume to be filled by water is  24 - 5.589 = 18.411 m^3\r\n" );
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document.write( "The rate of filling 20 gallons per minute = 20*0.003785 = 0.0757 m^3/minute.\r\n" );
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document.write( "The time to fill the empty volume is \r\n" );
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document.write( "    \"18.411%2F0.0757\" minutes = 143.21 minutes = 2 hours and 23.21 minutes (about two and half hours).    ANSWER to question (b)\r\n" );
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