Answer:
This question is not complete.
Step-by-step explanation:
<h3>The volume of a container with a radius of 4 centimeters and a height of 4 centimeters is 67.2 cubic centimeter</h3>
<em><u>Solution:</u></em>
<em><u>The volume of a container varies jointly with the square of its radius, r, and its height, h</u></em>
Therefore,
![v \propto r^2 h\\\\v = k \times r^2h -------- eqn\ 1](https://tex.z-dn.net/?f=v%20%5Cpropto%20r%5E2%20h%5C%5C%5C%5Cv%20%3D%20k%20%5Ctimes%20r%5E2h%20--------%20eqn%5C%201)
<em><u>The container has a height of 10 centimeters, and radius of 6 centimeters, and a volume of 377 cubic centimeters</u></em>
Substitute v = 377 and h = 10 and r = 6 in eqn 1
![377 = k \times 6^2 \times 10\\\\377 = k \times 360\\\\k = 1.047 \approx 1.05](https://tex.z-dn.net/?f=377%20%3D%20k%20%5Ctimes%206%5E2%20%5Ctimes%2010%5C%5C%5C%5C377%20%3D%20k%20%5Ctimes%20360%5C%5C%5C%5Ck%20%3D%201.047%20%5Capprox%201.05)
<em><u>What is the volume of a container with a radius of 4 centimeters and a height of 4 centimeters?</u></em>
Substitute k = 1.05 and r = 4 and h = 4 in eqn 1
![v = 1.05 \times 4^2 \times 4\\\\v = 1.05 \times 16 \times 4\\\\v = 67.2](https://tex.z-dn.net/?f=v%20%3D%201.05%20%5Ctimes%204%5E2%20%5Ctimes%204%5C%5C%5C%5Cv%20%3D%201.05%20%5Ctimes%2016%20%5Ctimes%204%5C%5C%5C%5Cv%20%3D%2067.2)
Thus volume of a container with a radius of 4 centimeters and a height of 4 centimeters is 67.2 cubic centimeter
The problem is asking what unit rate is the graph showing