How to use the hemisphere volume and surface calculator
Find the volume and surface areas of a hemisphere from its radius. Enter radius in the field above; the volume, curved surface area, total surface area with flat base are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “hemisphere volume”, “half sphere surface area”, “dome volume”, “calculate hemisphere volume and surface”, “find volume”.
Formula
Variables
- r — Radius (cm)
Worked example
With radius = 5 cm, the calculator gives volume ≈ 261.7994 cm³; curved surface area ≈ 157.0796 cm²; total surface area with flat base ≈ 235.6194 cm².
Frequently asked questions
What is the hemisphere volume and surface calculator used for?
Find the volume and surface areas of a hemisphere from its radius. It helps with questions such as “hemisphere volume”, “half sphere surface area”, “dome volume”.
What is the formula for the hemisphere volume and surface calculation?
Volume (cm³) = 2 / 3 × π × r^3. Curved surface area (cm²) = 2 × π × r × r. Total surface area with flat base (cm²) = 3 × π × r × r. Here r is radius (cm).
What inputs do I need for the hemisphere volume and surface calculator?
You need radius in cm. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the hemisphere volume and surface calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the hemisphere volume and surface result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.