Answer:
The area of the resulting cross section is 
Step-by-step explanation:
we know that
The resulting cross section is a circle congruent with the circle of the base of cylinder
therefore
The area is equal to

we have

-----> the radius is half the diameter
substitute the values

Answer:
B)max/ opens down
Step-by-step explanation:
Parabola equation:
The equation of a parabola has the following format:

If
, that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.
If
, that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.
In this question:

From the graph, we already see that it opens down and has a max, and analitically, since
, this is confirmed. The correct answer is given by option b.
Step-by-step explanation:
V = 1/3 pi r^2 h
root(V ÷ 1/3 pi) = h