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# How do you find the height of a cylinder when you only have the radius and surface area?

Updated: 12/15/2022

Wiki User

13y ago

Surface area of a cylinder = 2 x (Area of one end) + (Circumference of one end) x height

Let

a = surface area (known)

h = height (unknown)

a = 2 x pi x r2 + 2 x pi x r x h

So, h = (a - 2 x pi x r2) / (2 x pi x r)

Wiki User

13y ago

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Q: How do you find the height of a cylinder when you only have the radius and surface area?
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