Volume Calculator
Calculate 3D volume for spheres, cylinders, cones, and cubes.
Quadratic Equation Solver (ax² + bx + c = 0)
About Volume Calculator
The Universal 3D Volume & Capacity Calculator computes cubic volumetric capacity for Cubes, Rectangular Prisms / Tanks ($V = lwh$), Cylinders ($V = \pi r^2 h$), Cones ($V = \frac{1}{3}\pi r^2 h$), Spheres ($V = \frac{4}{3}\pi r^3$), Pyramids, Frustums, and Torus donuts with liquid volume conversions (Liters, Gallons, Cubic Feet, Cubic Meters).
How to Use Volume Calculator
Step 1
Select the 3D geometrical shape.
Step 2
Enter dimensions (length, width, height, radius).
Step 3
Review computed cubic volume and liquid capacity equivalents.
Step 4
Click "Copy Volume Specs".
Practical Use Cases for Volume Calculator
Swimming Pool, Water Tank & Aquarium Water Gallon Capacity
Calculate total gallons and liters of water required to fill rectangular, circular, or freeform swimming pools and fish tanks.
Concrete Pouring & Soil Mulch Cubic Yard Estimation
Compute cubic yards of ready-mix concrete for slab foundations, driveway footings, and cylindrical sonotube piers.
Input & Output Examples
Calculating Volume of Water Tank (Cylinder: r = 1.5m, h = 3.0m)
Shape: `Cylinder`, Radius: `1.5 m`, Height: `3.0 m`
Volume: `21.2058 m³` | Liquid Capacity: `21,205.8 Liters (5,602.0 US Gallons)` | Concrete: `27.74 cu yards`
Key Features & Performance
- ✓3D Geometries: Cube, Box / Rectangular Prism, Cylinder, Sphere, Hemisphere, Cone, Truncated Cone Frustum, Pyramid, Torus / Donut.
- ✓Unit Output: Cubic Meters ($m^3$), Cubic Feet ($ft^3$), Cubic Yards ($yd^3$), Liters ($L$), US Gallons, UK Gallons, Fluid Ounces.
- ✓Weight Estimation: estimates total mass when filled with water, concrete, soil, sand, or gasoline.
- ✓100% Client-Side 3D geometry engine.
- ✓1-Click Copy volume specifications.
Key Terminology & Definitions
Volumetric Capacity
The three-dimensional quantity of space enclosed within a closed 3D boundary, measured in cubic units or liquid volume.
Cubic Yard ($yd^3$)
An imperial volume unit equal to 27 cubic feet (approx. 764.55 liters), standard for concrete, soil, and gravel purchasing.