Volume Calculator
Calculate the volume of various geometric shapes. Cuboid, sphere, cone and more. Step-by-step explanation, free and no registration required.
Result
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Note: These calculations are for informational purposes only and do not replace professional tax or financial advice. All information without guarantee.
Frequently Asked Questions
How do I calculate the volume of common shapes?
Cube: side cubed. Cuboid: length times width times height. Sphere: 4/3 times pi times radius cubed. Cylinder: pi times radius squared times height. Cone: 1/3 times pi times radius squared times height.
How do I convert between volume units?
One liter equals 1,000 cubic centimeters equals 0.001 cubic meters. One cubic meter equals 1,000 liters. One milliliter equals one cubic centimeter.
What is the Volume Calculator?
The volume calculator computes the volume of geometric solids: cuboid, sphere, cylinder, cone, pyramid and more.
How does the Volume Calculator work?
Select the shape and enter the dimensions. The calculator computes the volume and shows the formula used. Conversion between cubic centimetres, litres and cubic metres is built in.
Key Data and Facts
Cuboid: V = a * b * c. Sphere: V = 4/3 * pi * r cubed. Cone: V = 1/3 * pi * r squared * h. Pyramid: V = 1/3 * base * h. 1 m cubed = 1,000 litres.
Step-by-Step Guide
How to calculate das Volumen geometrischer Koerper step by step: 1. Koerperform choose: Quader, Kugel, Zylinder, Kegel, Pyramide, Prisma oder weitere. 2. Masse enter: Je nach Koerper Laenge, Breite, Hoehe, Radius etc. 3. Volumenformeln: Quader: V = Laenge x Breite x Hoehe. Wuerfel: V = a3. Kugel: V = 4/3 x pi x r3. Zylinder: V = pi x r2 x h. Kegel: V = 1/3 x pi x r2 x h. Pyramide: V = 1/3 x Grundflaeche x Hoehe. Halbkugel: V = 2/3 x pi x r3. 4. Einheiten umrechnen: 1 m3 = 1.000 Liter = 1.000.000 cm3. 1 cm3 = 1 ml. 5. Praktische Anwendungen: Betonmenge fuer Fundamente (Quader), Tankinhalt (Zylinder), Erdaushub (Pyramide/Kegel). 6. Bei zusammengesetzten Koerpern: Teilen Sie den Koerper in einfache Grundformen auf und addieren Sie die Einzelvolumen.
Calculation Example
Kegel mit r = 6 cm, h = 15 cm: V = 1/3 x 3,14159 x 36 x 15 = 565,5 cm3 ≈ 0,566 Liter. Kugel mit r = 10 cm: V = 4/3 x 3,14159 x 1.000 = 4.189 cm3 ≈ 4,19 Liter.
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