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: Given Radius find Curved Area, Volume, Circumference and Total Area Given Volume find Radius, Circumference, Curved Area and Total Area Given Curved Area find Radius, Circumference, Volume and Total Area Given Total Area find Radius, Circumference, Volume and Curved Area Given Circumference find Radius, Curved Area, Volume and Total Area r =  Units:     meters feet inches     V =  A =  C =  K =  Hemisphere Shape r = radius V = volume A = surface area C = base circumference

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

Hemisphere Calculations:

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