Acandle 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?

The amount of  wax that is needed to create one set of candles is:

                              27π cubic inches.

Step-by-step explanation:

Height(h) of smallest candle= 3 inches.

      Hence, Volume of smallest candle is:

  Hence, radius of medium candle=2r

 Height of medium candle=2h

            Hence, Volume of medium candle is:

      Hence, radius of largest candle=3r

      Height of largest candle=3h

        Hence, Volume of largest candle is:

The amount of wax required to create one set of candle is equal to total volume of all the three candles.

Now on putting the value of r and h in the expression we get:

                  Hence, the answer is:

                       27π cubic inches.

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step-by-step explanation: