## Method #1 – Radius of a Cylinder from the Height and Volume

### 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))

## Method #2 – Radius of a Cylinder from the Height and Curved Surface Area

### 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

### 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