The volume of the flower pot

Calculate the volume of flower pots

Mathematical formulas help here, but few people know by heart. Therefore, an aid now follows.
There are different flower pot shapes:

• dice
• Cuboid
• Hemisphere
• Truncated cone

The cube shape

Mathematical formula: length x width x height. Since all sides of the cube are the same length, measure only one side, for example 20 cm. Then calculate 20 cm x 20 cm x 20 cm = 8000 cm³
1000 cm³ make 1 liter, so the cube has a volume of 8 liters.

The cuboid

Here, too, the calculation is based on length x width x height, 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 of content.

The hemisphere

It gets a little more difficult here. The formula is used: V = 1/12 x pi x d³
V stands for volume
pi stands for the corresponding number 3.1415926535…, or 3.14 for short
d stands for the diameter of the hemisphere

For example, if the diameter of the hemisphere is 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 volume of about 7 liters.

The truncated cone

The following formula applies here V = [(pi x h): 3] x (r1² + r1 x r2 + r2²) For this purpose, the upper diameter of the pot and the lower diameter of the pot must be measured.
Example:
Diameter above 20 cm, i.e. radius r2 = 10 cm
Bottom diameter 15 cm, i.e. radius r1 = 7.5 cm
Pot 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 cm³
The flower pot has a capacity of just under 5 liters.