Question

jaclyn sells candles that are in the shape of cones. she makes a green candle that has a radius of 2.5 inches and a height of 9 inches. she sells each candle at a price of $0.25 per cubic inch of wax. which statements about the green candle are true? check all that apply. use 3.14 for \\(\pi\\).

the volume of the green candle is about \\(23.55\text{ in.}^3\\).
the volume of the green candle is about \\(58.88\text{ in.}^3\\).
the diameter of the green candle is \\(5\text{ in.}\\).
the diameter of the green candle is \\(1.25\text{ in.}\\).
the base area of the green candle is about \\(19.63\text{ in.}^2\\).
the base area of the green candle is about \\(7.85\text{ in.}^2\\).
the price of one green candle is about \\(\\$5.89\\).
the price of one green candle is about \\(\\$14.72\\).

Explanation:

Calculate the diameter and base area

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$$

Calculate the volume of the cone

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$$

Calculate the price of the candle

$$ \text{Price} = V \times 0.25 \approx 58.875 \times 0.25 = 14.71875 \approx \$14.72 $$

Answer:

• The volume of the green candle is about 23.55 in.\(^3\).
• The volume of the green candle is about 58.88 in.\(^3\). (Correct answer)
• The diameter of the green candle is 5 in. (Correct answer)
• The diameter of the green candle is 1.25 in.
• The base area of the green candle is about 19.63 in.\(^2\). (Correct answer)
• The base area of the green candle is about 7.85 in.\(^2\).
• The price of one green candle is about $5.89.
• The price of one green candle is about $14.72. (Correct answer)