Free · Biology and garden models

Planter Soil Volume: Box, Cylinder & Tapered Pot

Calculate planter soil volume: box, cylinder & tapered pot with the retained input modes, unit choices and stated arithmetic assumptions.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

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Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

Two rectangular planters, each 100 cm by 50 cm with a 20 cm soil depth, need 200 liters in this geometric model.

Box: V=N L W h; cylinder: V=N π D²h/4; tapered pot: V=N πh(D²+Dd+d²)/12.

Worked example

Enter these known values and leave the other values blank.

Length
100 cm
Width
50 cm
Depth
20 cm
Quantity
2
Volume of soil needed
200 L

Assumptions and limitations

  • The result is the interior geometric volume at the entered fill depth. Wall thickness, drainage layers, settling and spare material are omitted.
  • Select rectangular, circular or tapered-pot geometry. Diameters describe the interior top and bottom of the filled frustum. Quantity is a positive whole planter count.
  • The same consistent length units must describe a shape. Volume unit choices convert the resulting quantity; a bag count requires the actual labeled bag volume.

Common questions

What does this result represent?

The result is the interior geometric volume at the entered fill depth. Wall thickness, drainage layers, settling and spare material are omitted.

Can I solve for another quantity?

Enter the known quantities and clear the unknown where an inverse relationship is available. Selection presets remain separate from measurements you supply; use locks to retain known inputs.

References

Bookify enforces finite physical or discrete inputs for this model and detects the stated selected-scenario relationships without changing the captured arithmetic graph.

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