Method #1 – Radius of a Cylinder from the Height and Volume
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Formula – How to find the radius of a cylinder from the height and volume
Radius =√(Volume ÷ (Height x π))
Example
A cylinder has a volume of 785.39 and a height of 10
Radius = √(785.39 ÷ (10 x 3.14159))
Radius = √(785.39 ÷ 31.4159)
Radius = √(24.99976)
Radius = 5
Method #2 – Radius of a Cylinder from the Height and Curved Surface Area
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Formula – How to find the radius of a cylinder from the height and curved surface area
Radius = Area ÷ (2 x π x Height)
Example
A cylinder has a curved surface area of 314.159 and a height of 10
Height = 314.159 ÷ (2 x 3.14159 x 10)
Height = 314.159 ÷ 62.8318
Height = 5
Method #3 – Radius of a Cylinder from the Height and Total Surface Area
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Formula – How to find the radius of a cylinder from the height and total surface area
B = Height2 + ((2 x Area) ÷ π)
Radius = (√B – Height) ÷ 2
Example
A cylinder has a surface area of 471.24 and a height of 10
B = 102 + ((2 x 471.24) ÷ 3.14159)
B = 100 + (942.48 ÷ 3.14159)
B = 100 + 300
B = 400
Radius = (√400 – 10) ÷ 2
Radius = (20 – 10) ÷ 2
Radius = 10 ÷ 2
Radius = 5