Hemisphere Calculator
A hemisphere is half a sphere — like a dome or a bowl. Enter the radius to get its volume, curved surface area and total surface area with the full step-by-step working shown, perfect for homework and quick checks.
How to use
- Enter the radius of the hemisphere in any unit.
- The volume, curved surface area and total surface area are calculated instantly.
- Read the step-by-step working below to see the formulas used.
Good to know
- Volume = (2/3)πr³, curved surface area = 2πr², total surface area (with base) = 3πr².
- Keep your units consistent: radius in cm gives volume in cm³ and areas in cm².
- A hemisphere is exactly half of a full sphere with the same radius.
Note: Formulas: Volume = (2/3)πr³, Curved surface area = 2πr², Total surface area = 3πr² (curved + base circle πr²).
Frequently Asked Questions (FAQ)
What does the hemisphere calculator find?
The volume, curved surface area and total surface area of a hemisphere, each with its formula and a step-by-step breakdown.
What input does the hemisphere calculator need?
Only the radius (r). All three results appear instantly.
Does the total surface area include the flat base?
Yes. The total surface area includes the circular base, while the curved surface area counts only the dome.
Can I see the calculation steps?
Yes. Every result comes with the formula used and a step-by-step breakdown of the numbers.