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 inches cubed.
The volume of the green candle is about 58.88 inches cubed.
The diameter of the green candle is 5 in.
The diameter of the green candle is 1.25 in.
The base area of the green candle is about 19.63 inches squared.
The base area of the green candle is about 7.85 inches squared.
The price of one green candle is about $5.89.
The price of one green candle is about $14.72.
Answers
Given:
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.
To find:
Which statements about the green candle are true?
Check all that apply. Use 3.14 for Pi.
Solution:
Volume of a cone = π × r² × h / 3
From given, we have,
r = 2.5 inches and h = 9 inches
Volume of a cone = 3.14 × 2.5² × 9 / 3 = 58.875 inches cubed.
The volume of the green candle is about 58.88 inches cubed.
The diameter of a cone = 2 × r = 2 × 2.5 = 5 in.
The diameter of the green candle is 5 in.
The base area of the green candle = π × r²
The base area of the green candle = 3.14 × 2.5² = 19.625 ≈ 19.63 inches squared.
The base area of the green candle is about 19.63 inches squared.
The price of one green candle
She sells each candle at a price of $0.25 per cubic inch of wax.
Volume of a cone obtained = 58.875 inches cubed.
Therefore, the price of one green candle = 58.875 inches cubed × $0.25 = $14.718 ≈ $14.72
The price of one green candle is about $14.72.
Answer:
B, C, E, H
Step-by-step explanation: It's right on edgenuity.