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?

63.565 inch³

Step-by-step explanation:

A candle manufacturer sells cylindrical candles in sets of three.

Each candle in the set is of different size.

Smallest candle has a radius of = 0.5 inches and a height of = 3 inches.

other two candles are with scale factors of 2 and 3.

It means radius and height for second candle are = 0.5 × 2 = 1 inch and = 3 × 2 = 6 inches.

Radius and height of third candle are =  0.5 × 3 = 1.5 inch and = 2 × 3 = 6 inches

Now we have to calculate the amount of wax needed to create one set of candles.

Volume of Candle 1 =

                                 =

Volume of Candle 2 =  

                                  =  

Volume of Candle 3 =

                                 =

Total quantity of wax = Volume (1) + volume (2) + volume (3)

                                  = 2.355 + 18.84 + 42.39 = 63.565 inch³

63.565 inch³ wax is needed to create one set of candles.

step-by-step explanation:

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