Sphere & Solid Geometry
Surface area and volume of spheres, cones, and cylinders
About this calculator
The Sphere & Solid Geometry Calculator finds the volume and surface area of a sphere, cone, or cylinder from its radius and height. It also reports the slant height, lateral and base areas, great-circle area, and diameter, with an explanatory cross-section diagram. Useful for geometry homework, engineering, and 3D design.
How to use the Sphere & Solid Geometry calculator
- Enter the measurements you know into the input fields.
- Read the computed properties — they update instantly as you type.
- Compare the diagram with your figure to confirm the setup is right.
- Copy the page URL to share the exact calculation.
Common examples
- Sphere with r = 1 → volume ≈ 4.18879, surface area = 4π ≈ 12.56637
- Sphere with r = 5 → volume ≈ 523.59878, surface area = 100π ≈ 314.15927
- Cone with r = 3, h = 4 → slant height 5, volume = 12π ≈ 37.69911, surface area = 24π ≈ 75.39822
- Cylinder with r = 2, h = 5 → volume = 20π ≈ 62.83185, surface area = 28π ≈ 87.96459
- Cone with r = 6, h = 8 → slant height 10, lateral area = 60π ≈ 188.49556
Frequently asked questions
How does the Sphere & Solid Geometry calculator work?
Enter the known measurements of your figure and the calculator applies the standard geometric formulas to find the remaining properties, alongside a diagram that reflects your numbers. All values are computed with high-precision arithmetic.
When would I use the Sphere & Solid Geometry calculator?
It helps with geometry homework, technical drawing, construction and DIY layout, and any situation where you know some measurements of a shape and need the rest.
How accurate are the results?
Formulas are evaluated at 30 significant digits of precision internally, including roots and trigonometric functions. Displayed values are rounded for readability, but the underlying computation does not accumulate floating-point drift.
Can I share a specific calculation with someone else?
Yes. Every value you enter updates the URL, so copying the address bar and sharing the link reopens the exact same figure and results for whoever clicks it.