The formula for the volume of a cylinder

alexmsvoboda

alexmsvoboda

Answered question

2022-09-15

The formula for the volume of a cylinder is V= Pir^2squared. The cylinder has a volume of 160pi cubic meters. The whole radius is 4. What is the height. 
 

The pi means pie. I couldn’t find a symbol for it. 
I know to do 160pi= pi2^2

I can’t figure out the height.

Answer & Explanation

karton

karton

Expert2023-05-25Added 613 answers

To solve the problem, we can use the formula for the volume of a cylinder, which is given as V=πr2h, where V represents the volume, r represents the radius, and h represents the height of the cylinder.
We are given that the volume of the cylinder is 160π cubic meters and the radius is 4. We need to find the height.
Substituting the given values into the formula, we have:
160π=π·42·h
Simplifying further:
160π=16π·h
Now, we can cancel out the π terms on both sides of the equation:
160=16h
To solve for h, we divide both sides of the equation by 16:
16016=16h16
Simplifying further:
10=h
Therefore, the height of the cylinder is 10 meters.

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