document.write( "Question 168043: Grain pouring from a chute at the rate of 8 feet cubed per minute forms a conical pile whose altitude is always twice its radius. How fast is the altitude of the pile increasing when the pile is 6 feet high? \n" ); document.write( "
Algebra.Com's Answer #123866 by scott8148(6628)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "r=h/2 __ V=π(r^2)h/3 __ substituting __ V=π(h^3)/12\r
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\n" ); document.write( "\n" ); document.write( "differentiating __ dV/dT=(π/12)(3h^2)dh/dT __ dh/dT=(dV/dT)/[(π/12)(3h^2)]\r
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\n" ); document.write( "\n" ); document.write( "dh/dT=8/(π/4)(6^2)=32/(36π)=.283ft/min (approx)
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