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? A. 27 π cubic inches B. 36 π cubic inches C. 53 π cubic inches D. 86 π cubic inches E. 98 π cubic inches

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Answer:

A. 27 π cubic inches

Step-by-step explanation:

The volume of a cylinder is calculated using the formula;

[tex]Volume=\pi r^2h[/tex]

From the given information, the smallest candle has a radius of 0.5 inches and a height of 3 inches.

We substitute [tex]r=0.5[/tex] and [tex]h=3[/tex] into the given formula.

The vlume of the smallest candle is

[tex]Volume=\pi \times0.5^2\times 3[/tex]

[tex]Volume=\frac{3}{4}\pi in^3[/tex]

from the given information, the other two candles are scaled versions of the smallest, with scale factors of 2 and 3.

The volume of the other two candles will be [tex]2^3\times \frac{3}{4}\pi=6\pi in^3[/tex] and [tex]3^3\times \frac{3}{4}\pi=\frac{81}{4}\pi in^3[/tex]

The wax needed to create one set of candle is

[tex]\frac{3}{4}\pi+6\pi+\frac{81}{4}\pi=27\pi\: in^3[/tex]

The correct answer is A

Answer:

27 pi in³

Step-by-step explanation:

I just took a test on Plato/Edmentum with this question and this was the right answer

~Please mark me as brainliest :)