document.write( "Question 1134669: Sand is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. How high is the pile (to the nearest hundreth of a foot) when it contains 1000 ft^3 of sand? \n" ); document.write( "

Algebra.Com's Answer #752129 by greenestamps(13203) $\"\"$ $\"About$

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\n" ); document.write( " $\"V+=+%281%2F3%29%28pi%29%28r%5E2%29%28h%29\"$

\n" ); document.write( "d = 3h, so r = (3/2)h

\n" ); document.write( " $\"1000+=+%281%2F3%29%28pi%29%28%283%2F2%29h%29%5E2%28h%29\"$
\n" ); document.write( " $\"1000+=+%281%2F3%29%28pi%29%289%2F4%29%28h%5E3%29\"$
\n" ); document.write( " $\"h%5E3+=+4000%2F%283%28pi%29%29\"$
\n" ); document.write( " $\"h+=+%284000%2F%283%28pi%29%29%29%5E%281%2F3%29\"$

\n" ); document.write( "Which to 5 decimal places is 7.51501, so rounding to the nearest hundredth is not a good choice. But since that's what it asks for....

\n" ); document.write( "ANSWER: 7.52 feet.
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