Method #1 – Volume of a Cylinder from the Radius and Height
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Formula – How to find the volume of a cylinder from the radius and height
Volume = π x Radius2 x Height
Example
A cylinder has a radius of 5 and a height of 10
Volume = 3.14159 x 52 x 10
Volume = 3.14159 x 25 x 10
Volume = 785.3975
Method #2 – Volume of a Cylinder from the Radius and Curved Surface Area
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Formula – How to find the volume of a cylinder from the radius and curved surface area
Step 1: Find the height of the cylinder
Height = Area ÷ (2 x π x Radius)
Step 2: Find the volume of the cylinder
Volume = π x Radius2 x Height
Example
A cylinder has a curved surface area of 314.159 and a radius of 5
Height = 314.159 ÷ (2 x 3.14159 x 5)
Height = 314.159 ÷ 31.4159
Height = 10
Volume = 3.14159 x 52 x 10
Volume = 3.14159 x 25 x 10
Volume = 785.3975
Method #3 – Volume of a Cylinder from the Radius and Total Surface Area
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Formula – How to find the volume of a cylinder from the radius and total surface area
Step 1: Find the height of the cylinder
Height = (Area – (2 x π x Radius2)) ÷ (2 x π x r)
Step 1: Find the volume of the cylinder
Volume = π x Radius2 x Height
Example
A cylinder has a surface area of 471.24 and a radius of 5
Height = (471.24 – (2 x 3.14159 x 52)) ÷ (2 x 3.14159 x 5)
Height = (471.24 – (2 x 3.14159 x 25)) ÷ 31.4159
Height = (471.24 – 157.0795) ÷ 31.4159
Height = 314.1605 ÷ 31.4159
Height = 10
Volume = 3.14159 x 52 x 10
Volume = 3.14159 x 25 x 10
Volume = 785.3975
Method #4 – Volume of a Cylinder from the Height and Curved Surface Area
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Formula – How to find the volume of a cylinder from the height and curved surface area
Step 1: Find the radius of the cylinder
Radius = Area ÷ (2 x π x Height)
Step 2: Find the volume of the cylinder
Volume = π x Radius2 x Height
Example
A cylinder has a curved surface area of 314.159 and a height of 10
Radius = 314.159 ÷ (2 x 3.14159 x 10)
Radius = 314.159 ÷ 62.8318
Radius = 5
Volume = 3.14159 x 52 x 10
Volume = 3.14159 x 25 x 10
Volume = 785.3975
Method #5 – Volume of a Cylinder from the Height and Total Surface Area
Calculator
Formula – How to find the volume of a cylinder from the height and total surface area
Step 1: Find the radius of the cylinder
B = Height2 + ((2 x Area) ÷ π)
Radius = (√B – Height) ÷ 2
Step 1: Find the volume of the cylinder
Volume = π x Radius2 x Height
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
Volume = 3.14159 x 52 x 10
Volume = 3.14159 x 25 x 10
Volume = 785.3975