Volume of 3D Shapes Calculator
Calculate volume and surface area of cylinders, cones, spheres, and pyramids. Essential for geometry and construction.
Inputs
units
units
units
units
Results
Volume
785.4 units³
Surface Area
471.24 units²
How to Use This Calculator
- Enter the shape number in the Shape field: 1 = cylinder, 2 = cone, 3 = sphere, 4 = rectangular pyramid.
- Enter radius and height for cylinders and cones.
- Enter radius only for spheres (height, length, and width are not used).
- Enter length, width, and height for rectangular pyramids.
- Volume formulas: cylinder = πr²h; cone = πr²h/3; sphere = 4πr³/3; rectangular pyramid = (l×w×h)/3. Surface area is computed alongside volume for each shape.
- Units are not enforced — ensure all dimensions use the same unit (e.g., all in centimeters). A cone has one-third the volume of a cylinder with the same base radius and height.
How the result changes with Radius
| Radius | Volume | Surface Area |
|---|---|---|
| 2 | 125.66 units³ | 150.8 units² |
| 7 | 1,539.38 units³ | 747.7 units² |
| 13 | 5,309.29 units³ | 1,878.67 units² |
| 18 | 10,178.76 units³ | 3,166.73 units² |
What each input means
- Shape
- 1=Cylinder, 2=Cone, 3=Sphere, 4=Pyramid
- Radius
- Radius (for cylinder, cone, sphere)
- Height
- Height
- Length
- Length (for pyramid)
- Width
- Width (for pyramid)
How this is calculated
Formula
Varies by shape: Cylinder = πr²h, Cone = (πr²h)/3, Sphere = (4πr³)/3Worked example, using the default values
- Identify Input Parameters4 parametersShape = 1, Radius = 5, Height = 10, Length = 0 = 5 input(s) provided
- Calculate VolumeVolume785.3981633974483 = 785.3981633974483
- Calculate Surface AreaSurface Area471.23889803846896 = 471.23889803846896
Engine last updated . Checked against 1 independently-derived test — how we verify calculators.
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