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.
FAQ
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.
Does the calculator show the working steps?
Yes. In addition to the final result the calculator displays the intermediate steps so you can follow the solution — ideal for school, university or homework.
Guide
Quick Answer
The volume calculator computes the volume of geometric solids: cuboid, sphere, cylinder, cone, pyramid and more.
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 the volume of geometric bodies step by step: 1. Choose the shape of the body: cuboid, sphere, cylinder, cone, pyramid, prism or others. 2. Enter the dimensions: depending on the body, length, width, height, radius etc. 3. Volume formulas: cuboid: V = length x width x height. Cube: V = a3. Sphere: V = 4/3 x pi x r3. Cylinder: V = pi x r2 x h. Cone: V = 1/3 x pi x r2 x h. Pyramid: V = 1/3 x base area x height. Hemisphere: V = 2/3 x pi x r3. 4. Convert units: 1 m3 = 1,000 liters = 1,000,000 cm3. 1 cm3 = 1 ml. 5. Practical applications: amount of concrete for foundations (cuboid), tank capacity (cylinder), earth excavation (pyramid/cone). 6. For composite bodies: divide the body into simple basic shapes and add up the individual volumes.
Calculation Example
Cone with r = 6 cm, h = 15 cm: V = 1/3 x 3.14159 x 36 x 15 = 565.5 cm3 ≈ 0.566 liters. Sphere with r = 10 cm: V = 4/3 x 3.14159 x 1,000 = 4,189 cm3 ≈ 4.19 liters.
Sources · E-E-A-T
Official sources
Calculations are based on applicable German laws and official data:
Full methodology at Methodology.
Mathematics
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