We will be using the formula in looking for the volume of the cylinder which is
V = πr²h
where:
r = radius
h = height
V = volume
but in the problem V and r have values already:
r = 8
V = 4019.2
plug this in the volume equation:
V = πr²h
= 4019.2 = π* 8² * h
= 4019.2 = 64πh
= 4019.2 / 64π = h
so the answer is: h = 4019.2 /201.06193
= 19.99 is the height of the cylinder.
Answer:

Step-by-step explanation:
The first equation is 
The second equation is 
When we graph these two equations, <em>they will meet at a point which represent the solution of the two equations</em>.
We can solve the two equations simultaneously to determine their point of intersection.
Let us substitute the second equation into the first equation to get;

Multiply through by 2 to get;

Group similar terms to obtain;

Simplify;

Divide both sides by 3;

Put
into the second equation;



Therefore the graphs of the two functions intersect at (2,3)
See graph in attachment.
Answer:
3 + 8 times 3 +27 times 3 + 64 times 3+ 125 times 3 + 216 times 3+ 343 times 3
2352 cubic units^3
Step-by-step explanation:
<h2>
Hello!</h2>
The answer is:
C. 
<h2>Why?</h2>
In order to find the correct option, we need to substitute/evaluate the given values of "x" into each function.
Substituting into the first equation, option A:
... and so.
We can see that the option A is not the correct option since the obtained values do not match with the given values.
Substituting into the second equation, option B:

... and so.
We can see that the values obtained from the function do not match with the given values, so the option B is not correct.
Substituting into the third equation, option C:

So, since all the obtained values match with the given values, we can conclude that the correct option is the option C.
Have a nice day!