Method #1 – Volume from the radius
Calculator
Formula – How to calculate the volume of a sphere from the radius
Volume = (4/3) x π x Radius3
Example
A sphere has a radius of 10
Volume = (4/3) x π x 103
Volume = 1.333333 x 3.14159 x 1000
Volume = 4188.78
Method #2 – Volume from the surface area
Calculator
Formula – How to calculate the volume of a sphere from the surface area
Step 1: Convert surface area to radius
Radius = √(Area ÷ (4 x π))
Step 2: Convert radius to volume
Volume = (4/3) x π x Radius3
Example
A sphere has a surface area of 10
Radius = √(10 ÷ (4 x π))
Radius = √(10 ÷ (4 x 3.14159))
Radius = √(10 ÷ 12.56636)
Radius = √0.79577
Radius = 0.892059
Volume = (4/3) x π x 0.8920593
Volume = 1.333333 x 3.14159 x 0.70987
Volume = 2.9735
Method #3 – Volume from the diameter
Calculator
Formula – How to calculate the volume of a sphere from the diameter
Step 1: Convert diameter to radius
Radius = Diameter ÷ 2
Step 2: Convert radius to volume
Volume = (4/3) x π x Radius3
Example
A sphere has a diameter of 10
Radius = 10 ÷ 2 = 5
Volume = (4/3) x π x 53
Volume = 1.333333 x 3.14159 x 125
Volume = 523.59820
Method #4 – Volume from the circumference
Calculator
Formula – How to calculate the volume of a sphere from the circumference
Step 1: Calculate the Radius
Radius = Circumference ÷ π ÷ 2
Step 2: Calculate the Volume
Volume = (4/3) x π x Radius3
Example
A sphere has a circumference of 100
Radius = 100 ÷ π ÷ 2
Radius = 100 ÷ 3.14159 ÷ 2
Radius = 15.915508
Volume = (4/3) x π x 15.9155083
Volume = 1.333333 x 3.14159 x 4031.4522
Volume = 16886.88900