Answer:
628.3 mi ³
Step-by-step explanation:
The formula for the volume of a cylinder is equal to πr²h, where r represents the radius of a circle on either the top/bottom of the cylinder and h represents the height. Here, the radius is given as 5 and the height as 8, so our volume is
πr²h = π (5)² h= π(25)(8) ≈ 628.3
You need to clarify whether you need the x or the y or both
Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
11.3-7.2f = -3.82
-11.3 -11.30
_____________
-7.2f = -15.12
____ _____
-7.2 -7.2
f = 2.1
