Calculate Cylinder Height Given Diameter and Volume

Learn how to find the height of a cylinder using its diameter and volume with this step-by-step guide.

Answer

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

Where:

is the volume
is the radius of the base
is the height of the cylinder

1. Identify the given values:

Diameter () =
Volume () =

2. Find the radius ():
The radius is half of the diameter:

3. Substitute the values into the volume formula to solve for :

Divide both sides by

Now, divide by

to isolate

Final Answer:
The height of the cylinder is

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Calculate Cylinder Height Given Diameter and Volume

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