Surface Area of a Hemisphere Calculator

Enter the radius or diameter to instantly calculate the curved and total surface area of a hemisphere with step-by-step working.

Calculator Inputs

cm

Curved Surface Area (CSA)

Total Surface Area (TSA)

Base Area (flat circle)

Hemisphere diagram

r d = 2r CSA = 2πr² TSA = 3πr²

r = radius  |  d = diameter

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Summary

Enter the radius or diameter to instantly calculate the curved and total surface area of a hemisphere with step-by-step working.

How it works

  1. Choose whether to enter the radius or the diameter.
  2. Type the measurement value in the input field.
  3. Select your preferred unit (mm, cm, m, in, or ft).
  4. Click "Calculate" to apply the hemisphere formulas.
  5. Curved surface area, total surface area, and base area results appear with step-by-step working.

Use cases

  • Geometry homework and exam problems involving hemispheres.
  • Architecture — estimating material for a dome-shaped roof or ceiling.
  • Engineering — calculating the exposed area of hemispherical tanks or vessels.
  • Manufacturing — coating, painting, or finishing hemispherical parts.
  • Physics problems requiring the surface area of half-sphere objects.
  • Landscaping — estimating cover material for a dome-shaped topiary or mound.
  • Classroom demonstrations of the relationship between CSA and TSA.
  • Verifying manual hemisphere calculations quickly.

Frequently Asked Questions

Last updated: 2026-06-13 · Reviewed by Nham Vu