Answer:
704 pi in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 8)^2 * 11
V = pi (704)
V = 704 pi in ^3
Slope of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (2, -3) and m = 5/8.
Therefore equation of the line is y - (-3) = 5/8(x - 2)
8(y + 3) = 5x - 10
8y + 24 = 5x - 10
8y - 5x = -10 - 24 = -34
5x - 8y = 34
-5 ≤ 1 - 2x < 9
Let's first break this down into two different inequalities.
1 - 2x ≥ -5
Subtract 1 from both sides.
-2x ≥ -6
Divide both sides by -2
x ≤ 3
Now, let's do the second inequality.
1 - 2x < 9
Subtract 1 from both sides.
-2x < 8
Divide both sides by -2
x > 4
let's combine each inequality to get our reduced compound inequality.
-4 < x ≤ 3
To plot this, put a hollow point at -4. A hollow point looks something like the letter o.
And put the second point at 3. This time, fill in the point so it looks whole.
Now, connect your points.
It should look something like this:
The answer is 4x-1 hope it helps. :D