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 pie.The volume of the green candle is about 23.55 in.(cubed)The volume of the green candle is about 58.88 in. (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 in. (squared)The base area of the green candle is about 7.85 in. (squared)The price of one green candle is about $5.89.The price of one green candle is about $14.72.
Accepted Solution
A:
The true statements are that the diameter is 5 in, the base area is 19.63 in², the volume is 58.88in³ and the cost is $14.72.
Since the radius is 2.5 in, the diameter is 2*2.5 = 5. The base is a circle. Therefore the base area is found by the formula A=πr²=(3.14)(2.5)²=19.625≈19.63in².
The volume of a cone is given by multiplying the base area by the height and then taking 1/3 of it: 19.625(9)/3 = 58.875≈58.88in³.