Answer:
141.3 cm³
Step-by-step explanation:
V=πr2h=π·32·5≈141.37167cm³
An ant on the ground is 22 feet from the foot of a tree. She looks up at a bird at the top of the tree, and her line of sight makes 30 degrees with the ground. How far is she from the top of the tree? (Hint: Find x.)
33.6 feet
Answer:
50% change in volume
Step-by-step explanation:
<h2>
This problem bothers on the mensuration of solid shapes.</h2>
In this problem we are to find the volume of the first cylinder and compare with the second cylinder.
Given data
Volume v = ?
Diameter d=
?
Radius r =
Height h=
we know that the volume of a cylinder is expressed as
Substituting our given data we have
The first cylinder as a volume of
The change in volume is
percentage =
%
You want to isolate the x-term from the constant term, so you can subtract x/3 and add 10. This gives you
... 4/9x -10 -x/3 +10 > x/3 -12 -x/3 +10
... 1/9x > -2 . . . . . . collect terms
Now, you can multiply by 9 to see the condition on x.
... 9(1/9x) > -2(9)
... x > -18
On the x-y plane, the graph of this will be a dashed line at x=-18, and the half-plane to the right of that line will be shaded.
On a number line, there will be an open circle at x=-18, and the number line to the right of that circle will be marked (bold, colored, shaded, whatever).