Volume Calculator

Volume is evaluated from Shape, Length / Side / Radius and Width / Radius. The calculation reports Volume, Volume in Gallons and Volume in Liters.

Results

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About the Volume Calculator

Volume is treated here as a quantitative relation between Shape, Length / Side / Radius, Width / Radius and Height and Volume, Volume in Gallons and Volume in Liters.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
Cylinder: V = pi x r^2 x h
Sphere: V = (4/3) x pi x r^3
Cone: V = (1/3) x pi x r^2 x h

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

Cylinder: V = pi x r^2 x h
Sphere: V = (4/3) x pi x r^3
Cone: V = (1/3) x pi x r^2 x h

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Above-Ground Pool Volume

Inputs

shape: cylinder dim1: 12 dim3: 4
Volume: 1,809.5574 cu units. Volume in Gallons: 7.83 gal. Volume in Liters: 1.81 L

With Shape = cylinder, Length / Side / Radius = 12 and Height = 4 as the stated inputs, the result is Volume = 1,809.5574 cu units, Volume in Gallons = 7.83 gal and Volume in Liters = 1.81 L. Each value corresponds to the declared output fields.

Example 2: Concrete Foundation Pour

Inputs

shape: rectangular_prism dim1: 30 dim2: 20 dim3: 0.5
Volume: 300 cu units. Volume in Gallons: 1.3 gal. Volume in Liters: 0.3 L

With Shape = rectangular_prism, Length / Side / Radius = 30, Width / Radius = 20 and Height = 0.5 as the stated inputs, the result is Volume = 300 cu units, Volume in Gallons = 1.3 gal and Volume in Liters = 0.3 L. Each value corresponds to the declared output fields.

Example 3: Raised Garden Bed Soil

Inputs

shape: rectangular_prism dim1: 8 dim2: 4 dim3: 1.5
Volume: 48 cu units. Volume in Gallons: 0.21 gal. Volume in Liters: 0.05 L

With Shape = rectangular_prism, Length / Side / Radius = 8, Width / Radius = 4 and Height = 1.5 as the stated inputs, the result is Volume = 48 cu units, Volume in Gallons = 0.21 gal and Volume in Liters = 0.05 L. Each value corresponds to the declared output fields.

Example 4: Basketball — Volume & Air

Inputs

shape: sphere dim1: 4.7
Volume: 434.8928 cu units. Volume in Gallons: 1.88 gal. Volume in Liters: 0.43 L

With Shape = sphere and Length / Side / Radius = 4.7 as the stated inputs, the result is Volume = 434.8928 cu units, Volume in Gallons = 1.88 gal and Volume in Liters = 0.43 L. Each value corresponds to the declared output fields.

Common Use Cases

  • Calculate concrete volume for a foundation pour
  • Find tank capacity in gallons
  • Determine shipping box volume
  • Compute soil volume for raised garden bed