Why do I need this, some people will ask themselves. If flower pots are not excellent with their capacity, you can only estimate when purchasing potting soil. To ensure that no soil remains, an accurate calculation is advantageous.
How to calculate the capacity of a flower pot in liters?
To calculate the capacity of a flower pot in liters, use formulas for different shapes: cube (length x width x height), cuboid (length x width x height), hemisphere (1/12 x pi x d³) and truncated cone (height x (r1² + r1 x r2 + r2²)). Conversion: 1000 cm³=1 liter.
Calculating the volume of flower pots
Mathematical formulas help here, but few people know them by heart. Therefore, here is some help. There are different flower pot shapes:
- Dice
- Cuboid
- Hemisphere
- Frustum
The cube shape
Mathematical formula: length x width x height. Since all sides of the cube are the same length, you only measure one side, for example 20 cm. Then calculate 20 cm x 20 cm x 20 cm=8000 cm³1000 cm³ makes 1 liter, so the cube has a volume of 8 liters.
The cuboid
Here too, length x width x height is calculated, for example 50 cm long, 20 cm wide and 15 cm high. The calculation is 50 cm x 20 cm x 15 cm=15000 cm³, i.e. 15 liters content.
The Hemisphere
It gets a little more difficult here. You use the formula: V=1/12 x pi x d³
V stands for volume
pi stands for the corresponding number 3, 1415926535, 3 for short, 14d stands for the diameter of the hemisphere
If the diameter of the hemisphere is, for example, 30 cm, it has a volume of:
1/12 x 3, 14 x (30cm)³=0.2616 x 27000 cm³=7063.2 cm³ The hemisphere has a capacity of approximately 7 liters.
The frustum
The following formula V=[(pi x h): 3] x (r1² + r1 x r2 + r2²) applies here. To do this, the upper diameter of the pot and the lower diameter of the pot must be measured.
Example:
Top diameter 20 cm, so radius r2=10 cm
Bottom diameter 15 cm, so radius r1=7.5 cmPot height 20 cm
Calculation:
V=[(pi x h): 3] x (r1² + r1 x r2 + r2²)
=[(3, 14 x 20 cm): 3] x (7.5² cm² + 7.5 cm x 10 cm + 10²cm²)
=[62.8 cm: 3] x (56.25 cm² + 75 cm²+ 100 cm²)
=20, 9 cm x 231, 25 cm²
=4833, 125 cm³The flower pot has a capacity of almost 5 liters.
