Hemisphere Calculator

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.

Choose a Calculation:

Hemisphere Formulas in terms of radius r: (Π = Pi)

Calculate volume of a hemisphere:
- V = (2/3) * Π * r^3
Calculate the circumference of the base of a hemisphere:
- C = 2 * Π * r
Calculate the curved surface area of a hemisphere:
- A = 2 * Π * r^2
Calculate the total surface area of a hemisphere:
- K = (2 * Π * r^2) + (Π * r^2) = 3 * Π * r^2

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

r = radius
V = volume
A = surface area
C = base circumference