document.write( "Question 1127031: Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 5 ft high? (Round your answer to two decimal places.) \n" ); document.write( "

Algebra.Com's Answer #743409 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The volume of a cone   V = .\r\n" );
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document.write( "Since we are given that  h = 2r (where 2r is the diameter), \r\n" );
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document.write( "    V =  =  = .    (1)\r\n" );
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document.write( "The rate of the volume change in time is given;  it is 15 ;  therefore\r\n" );
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document.write( "15 =  =  = (calculate  from the formula (1)) = . = (substitute here h= 5 ft) = ..\r\n" );
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document.write( "It implies   =  =  =  = 0.76 ft/min.  (rounded)\r\n" );
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document.write( "Answer.  At this moment, the height of the cone is increasing at the rate of  0.76 ft/min. (approximately)\r\n" );
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