To create one set of candles, approximately 84.862 cubic inches of wax is needed. ;
To create one set of candles, 14.142 cubic inches of wax is needed.
To find the amount of wax needed to create one set of candles, we need to calculate the volume of each candle and then multiply it by the number of candles in the set.
The formula to find the volume of a cylinder is V = πr²h, where r is the radius and h is the height.
For the smallest candle, the radius is 0.5 inches and the height is 3 inches.
Plugging these values into the formula, we get V = 3.142 × (0.5 inches)² × 3 inches = 2.357 cubic inches.
Since the other two candles are scaled versions of the smallest candle, their volumes can be found by multiplying the scale factor squared with the volume of the smallest candle.
Therefore, the volume of the second candle is 2² times the volume of the smallest candle, and the volume of the third candle is 3² times the volume of the smallest candle.
Adding up the volumes of all three candles, we get 2.357 + (2² × 2.357) + (3² × 2.357) = 2.357 + 4.714 + 7.071 = 14.142 cubic inches of wax needed to create one set of candles.
To create one set of candles, approximately 84.823 cubic inches of wax is needed. This is calculated by finding the volume of each candle using the formula for the volume of a cylinder and adding them together. The candles are scaled versions of the smallest candle with the given dimensions.
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