Question

Marina sells candles that are in the shape of cones she makes a yellow candle that has a diameter of 4 in and a height of 11 in she sells each candle at a price of $0.35 per cubic inch of wax which statements about the yellow candle are true check all that apply use 3.14 for pi​

Answer 1

Answer: The volume of the yellow candle is about
`46.05\text{ in}^3`.

The radius of the the yellow candle is 2 inch.

The base are of the yellow candle is
`12.56\text{ inches}^2`.

The price of the yellow candle is about
`$16.12`

Explanation:

Given: The shape of the candle = cone

The diameter of the candle's base = 4 inches

Then the radius of the candle's base =
`(4)/(2)=2\text{ inches}`

height of candle = 11 inches

The base area of candle is given by :-

`A=\pi r^2\\\\\Rightarrow\ A = (3.14)(2)^2\\\\\Rightarrow\ A=12.56\text{ inches}^2`

The volume of cone is given by :-

`\text{Volume}=(1)/(3)\pi r^2 h\\\\\Rightarrow\ \text{Volume}=(1)/(3)(3.14)(2)^2(11)\\\\\Rightarrow\ \text{Volume}==46.05333333\approx46.05\text{ in.}^3`

The price of the yellow candle =
`0.35*46.05=16.1175\approx\$16.12`

Answer 2

For this case we have qeu by definition, the volume of a cone is given by:

`V = \frac {1} {3} * \pi * r ^ 2 * h`

Where:

A: It's the radio

h: It's the height

We find the volume of the yellow candle:

`V = \frac {1} {3} * \ pi * (2) ^ 2 * 11\\V = \frac {1} {3} * 3.14 * 4 * 11\\V = \frac {138.16} {3}\\V = 46.05333333`

So, the volume of the yellow candle is:

46.05 cubic inches

The price will be:

`46.05 * 0.35 =\\16.1175\`

Answers:

Option A

Option C

Option F

Option H