Volume Calculator
Calculate volume and capacity for cubes, rectangular cuboids, spheres, cylinders, cones, and pyramids.
How to Use the Volume Calculator
- Choose the 3D solid geometry shape.
- Enter the required dimensions (radius, length, width, height, or side).
- Review the calculated volume in cubic units alongside corresponding surface areas.
Formulas & Principles
Cube: Volume = a³
Cuboid: Volume = length × width × height
Sphere: Volume = (4/3) × π × r³
Cylinder: Volume = π × r² × height
Cone: Volume = (1/3) × π × r² × height
Rectangular Pyramid: Volume = (1/3) × length × width × height
Frequently Asked Questions
What is the formula for the volume of a sphere?
Volume = (4/3) × π × r³.
What is the relationship between cylinder and cone volume?
A cone with the same base radius and height as a cylinder has exactly one-third the volume of the cylinder: V_cone = (1/3) × π × r² × h.
How do you convert cubic meters to liters?
1 cubic meter (m³) equals exactly 1,000 liters. 1 cubic centimeter (cm³) equals 1 milliliter (mL).
Why this calculator matters
This calculator helps solve mathematical problems faster and with fewer manual arithmetic mistakes. It is useful for studying, research verification, technical engineering checks, and everyday problem-solving.
When to use it
Use it when you need a fast answer, a cross-check for manual calculations, or a clear step-by-step verification of your result.
Quick tips
Double-check your inputs, keep units consistent across all fields, and verify boundary conditions.
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