SOLUTION: 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 inche

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Question 1162951: 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?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Calculate the volume  V%5B1%5D  of the smallest candle using the standard formula for the cylinder.


Then the volume of the 2-nd candle is  V%5B2%5D = 2%5E3%2AV%5B1%5D = 8V%5B1%5D,

and  the volume of the 3-rd candle is  V%5B3%5D = 3%5E3%2AV%5B1%5D = 27V%5B1%5D.


The total volume of the three candles  is  %281+%2B+8+%2B+27%29%2AV%5B1%5D = 36%2AV%5B1%5D.