Spherical Cap Calculator
Measure a dome’s volume, curved area and base radius.
Your inputs
Calculation results
Formula & assumptions
Volume = πh²(3r−h)/3; curved area = 2πrh.
Values use the specified units. Calculations use floating-point arithmetic. Check input measurements and formula assumptions before applying the result.
Compare your scenarios
Save up to five results to compare changes side by side. Scenarios stay in this tab until you clear or reload it.
Using Spherical Cap Calculator
Measure a dome’s volume, curved area and base radius.
- Enter sphere radius, cap height using the units printed under each field.
- Choose Calculate, or enable live updates. Review the result labels and formula assumptions.
- Save scenarios to compare up to five variations, then copy the report or download JSON or CSV.
Example
Sphere radius: 10 cm Cap height: 3 cm Volume · cm³: 254.469 Curved area · cm²: 188.49556 Base radius · cm: 7.1414284
Questions & answers
What does Spherical Cap Calculator calculate?
Measure a dome’s volume, curved area and base radius.
Which units should I enter?
Sphere radius uses cm. Cap height uses cm. Convert values to these units before calculating.
Which formula does it use?
Volume = πh²(3r−h)/3; curved area = 2πrh.
What does the included example show?
Sphere radius: 10 cm; Cap height: 3 cm. Result: Volume · cm³ = 254.469; Curved area · cm² = 188.49556; Base radius · cm = 7.1414284.
Can I compare different settings?
Yes. Save a scenario, change the inputs and save another result. Up to five scenarios are compared in this tab; they disappear when you reload or leave.
Can I export the calculation?
Copy the JSON report or download JSON and CSV with inputs, result labels and numeric values. Processing uses local JavaScript; no calculation request is sent to our server. Displayed values use up to 10 significant digits; exports retain JavaScript numeric precision.
Related tools
A useful next step for your task.
Everyday CalculatorsArc Length CalculatorFind an arc length and sector area from radius and angle.
Everyday CalculatorsChord & Sagitta CalculatorFind a circle’s radius from chord width and arc rise.
ConvertersUnit ConverterRecommendedConvert length, mass, temperature, area, volume, speed, time and digital storage. Strict inputs, batch reports and clearly labeled US, imperial…
Everyday Calculators2D Point Distance CalculatorMeasure the straight-line distance and midpoint between coordinates.
Help improve this tool
Report a problem or suggest an improvement
Describe the issue without pasting private tool input. Feedback goes to our admin inbox.