Joshua L. answered • 07/14/15
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Mathematics Tutoring
The formula for the volume of a cylinder is
Volume = π x radius2 x height.
π is the symbol for pi and is constant that approximately equals 3.14.
If we let v represent the volume, r for radius, and h for height, we can write the formula with less space. So it looks like this
v = π x r2 x h
Since you are looking for the height of the cylinder, you need to rearrange the formula to solve for h.
First you will divide π x r2 from both side. This will separate h from the rest of the variables.
So you do,
First you will divide π x r2 from both side. This will separate h from the rest of the variables.
So you do,
v / (π x r2) = π x r2 x h / (π x r2).
The π x r2 terms cancel out on the right side since (π x r2) / (π x r2) = 1. Then you are left with the formula
v / (π x r2) = h
Since the diameter is 13 inches, then you have r equals 13/2 since the diameter is twice the radius.
You have volume. I am not sure what you mean when you say the volume is 102 rr 3. But the next step is to plug the values v and r into the last formula to find the height, h.
Marla B.
Actually the radius is 102 pi inches to the 3rd power.
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07/14/15
Marla B.
Joshua,
How much are your tutoring services?
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07/14/15
Andrew M.
Marla,
the radius of the cylinder is half the diameter = 13/2 = 6.5 inches
Given V = pi(r2)h or h = V/[(pi)(r2)]
If V = 102 pi3 and r = 6.5 in then h = 102(pi)3/[(pi)(6.52)] ≅ 23.83 inches
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07/15/15
Marla B.
Thanks Andrew!
What is the height of the cylinder if the volume of the cyliner is 102 pi inches to the 3rd power?
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07/15/15
Marla B.
07/14/15