document.write( "Question 1171346: A cone has a volume of 125π cubic units. It has a radius of 2x-5 units and a height of 3x units. What is the radius of the cone? \n" ); document.write( "

Algebra.Com's Answer #796289 by greenestamps(13200) $\"\"$ $\"About$

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

\n" ); document.write( " $\"125%28pi%29+=+%281%2F3%29%28pi%29%28%282x-5%29%5E2%29%283x%29\"$

\n" ); document.write( " $\"125+=+%28%282x-5%29%5E2%29%28x%29\"$

\n" ); document.write( "That's going to give you a cubic equation that you will need to solve....

\n" ); document.write( "So let's guess that the answer is a \"nice\" number.

\n" ); document.write( "125 = 5*5*5 gives us a clue; and a bit of easy mental arithmetic shows the solution is x=5.

\n" ); document.write( "ANSWER: The radius is 2x-5 = 5 units.

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