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Spherical Cap Base Radius Calculator

Find spherical cap base radius as √(h(2R − h)). Use the same length unit throughout.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate.

Allowed range: 1e-09 to 1,000,000,000.

Allowed range: 0 to 1,000,000,000.

Your result
Enter your details

Result will appear here

How Spherical Cap Base Radius Calculator works

Find spherical cap base radius as √(h(2R − h)).

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Cap height cannot exceed sphere diameter. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

Concept diagram for Spherical Cap Base Radius Calculator, showing sphere radius input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Spherical Cap Base Radius Calculator

Follow the labelled inputs.

Enter sphere radius

Replace the example with sphere radius. The field labels specify the expected format and units.

Input and settings
Spherical Cap Base Radius Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set cap height. Use the same length unit throughout.

Tool result
Spherical Cap Base Radius Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate. Review the calculated result, then copy it or download the result text.

Review the details
Spherical Cap Base Radius Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Spherical Cap Base Radius Calculator

Check the supplied example

The starting example produces 2.2360679775. Find spherical cap base radius as √(h(2R − h)).

Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for sphere radius and cap height. Use the same length unit throughout.

Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Find spherical cap base radius as √(h(2R − h)).

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Cap height cannot exceed sphere diameter. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Cap height cannot exceed sphere diameter. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

The input stays in this browser. Copy result and Download save the same displayed text.

Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

Spherical Cap Base Radius Calculator: common questions

Answers about using Spherical Cap Base Radius Calculator and understanding its results.

What inputs and assumptions apply?

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Cap height cannot exceed sphere diameter. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

How can I save the result?

Copy result copies the displayed text. Download saves the same text as a TXT file. Processing runs in this browser without an account.

Calculate with your input

Check the calculated result, then copy or download it.

Calculate