Calculator Soup^{®}

r = radius

C = base circumference

V = volume

A = curved surface area

B = base surface area

K = total surface area

π = pi = 3.14159

√ = square root

This online calculator will calculate the various properties of a hemisphere given any 1 known variable. A hemisphere is 1/2 of a sphere. Cut in half by passing a plane through the center of the sphere. See hemispheres at Mathworld. Calculations for volume V and area A are essentially 1/2 of a sphere.

* **Units:** Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft^{2} or ft^{3}. For example, if you are starting with mm and you know r in mm, your calculations will result with A in mm^{2}, V in mm^{3} and C in mm.

- Volume of a hemisphere:
- V = (2/3)πr
^{3}

- V = (2/3)πr
- Circumference of the base of a hemisphere:
- C = 2πr

- Curved surface area of a hemisphere (1 side, external only):
- A = 2πr
^{2}

- A = 2πr
- Calculate the base surface area of a hemisphere (a circle):
- B = πr
^{2}

- B = πr
- Total surface area of a hemisphere:
- K = (2πr
^{2}) + (πr^{2}) = 3πr^{2}

- K = (2πr

Use the following additional formulas along with the formulas above.

- Given the radius of a hemisphere calculate the volume, curved surface area, circumference and total surface area

Given r find V, A, C, K- use the formulas above

- Given the volume of a hemisphere calculate the radius, curved surface area, circumference and total surface area

Given V find r, A, C , K- r = cuberoot(3V / 2π)

- Given the curved surface area of a hemisphere calculate the radius, volume, circumference and total surface area

Given A find r, V, C, K- r = √(A / 2π)

- Given the total surface area of a hemisphere calculate the radius, volume, curved surface area and circumference

Given K find r, V, A, C- r = √(K / 3π)

- Given the circumference of a hemisphere calculate the radius, volume, curved surface area and total surface area

Given C find r, V, A , K- r = C / 2π

**Cite this content, page or calculator as:**

Furey, Edward "Hemisphere Calculator" From *http://www.CalculatorSoup.com* - Online Calculator Resource.