document.write( "Question 967578: An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder:\r
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document.write( "--Hourglass with sand measuring 47 millimeters high
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document.write( "Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass is 47 millimeters. The radius of both the cylinder and cone is 4 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass?\r
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document.write( "A. 6.4
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document.write( "B. 62.4
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document.write( "C. 8.5
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document.write( "D. 56.0\r
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document.write( "i think its B??
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Algebra.Com's Answer #591426 by Theo(13342)![]() ![]() You can put this solution on YOUR website! i believe you are correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the volume of a cylinder is pi * r^2 * h\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the volume of a cone is 1/3 * pi * r^2 * h\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total height is 47. \n" ); document.write( "the height of the cone is 12. \n" ); document.write( "the height of the cylinder must be 35.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the top half is filled with sand, then the volume of the sand is pi * 4^2 * 36 and the volume of the cone is 1/3 * pi * 4^2 * 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total volume is 1960.353816 cubic millimeters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the top drains at the rate of 10 * pi cubic millimeters per second, the top will be empty and the bottom full after 1960.353816 / (10 * pi) = 62.4 seconds.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's my take as well. \n" ); document.write( " \n" ); document.write( " |