document.write( "Question 1143127: A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candle has a radius of 0.5 inches and a height of 3 inches. The other two candles are scaled versions of the smallest, with scale factors of 2 and 3. How much wax is needed to create one set of candles\r
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Algebra.Com's Answer #763898 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The amount of wax required depends on the volume of the set of candles.

\n" ); document.write( "(1) Determine the volume V of the smallest candle.
\n" ); document.write( "\"V+=+%28pi%29%28r%5E2%29%28h%29\"
\n" ); document.write( "\"V+=+%28pi%29%28.5%5E2%29%283%29+=+%283%2F4%29pi\"

\n" ); document.write( "(2) With scale factors of 2 and 3, the ratios of the VOLUMES of the other two candles to the volume of the smallest are 2^3=8 and 3^3=27. So the total volume of the three candles is V + 8V + 27V = 36V.
\n" ); document.write( "\"36V+=+36%2A%283%2F4%29pi+=+27pi\"

\n" ); document.write( "84.823 cubic inches, to 3 decimal places.
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