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

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

Answer 2

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 $16.12$

Step-by-step 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 = $\dfrac{4}{2}=2\text{ inches}$

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 :-

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

The price of the yellow candle = $0.35\times46.05=16.1175\approx\ 16.12$