Hemisphere Calculator (Volume & Surface Area)
Hemisphere Calculator (Volume & Surface Area)
A hemisphere is exactly half of a sphere, sliced through its center - a dome, a half-orange, or a snow globe base are everyday examples. Enter the radius (in whatever unit you like), and this calculator finds the volume, the curved (dome-only) surface area, and the total surface area (curved surface plus the flat circular base), along with a diagram and the full step-by-step working.
- V = 2/3πr³, exactly half the volume of a full sphere with the same radius - a hemisphere with radius 6 has a volume of 2/3 × π × 6³ ≈ 452.39 cubic units.
- Curved SA = 2πr², exactly half a full sphere's surface area (4πr²) - for radius 6, that's 2 × π × 6² ≈ 226.19 square units.
- Total SA = 3πr² adds the flat circular base (πr²) to the curved surface (2πr²) - for radius 6, that's 3 × π × 6² ≈ 339.29 square units, useful for finding how much material covers the whole dome including its base.
How do I find the volume of a hemisphere?
Use V = 2/3πr³ - exactly half a full sphere's volume. A hemisphere with radius 6 has a volume of 2/3 × π × 6³ ≈ 452.39.
What is the difference between curved and total surface area of a hemisphere?
Curved surface area (2πr²) is just the dome; total surface area (3πr²) also includes the flat circular base.
Hemisphere Calculator (Volume & Surface Area)
A hemisphere is exactly half of a sphere, sliced through its center - a dome, a half-orange, or a snow globe base are everyday examples. Enter the radius (in whatever unit you like), and this calculator finds the volume, the curved (dome-only) surface area, and the total surface area (curved surface plus the flat circular base), along with a diagram and the full step-by-step working.
- V = 2/3πr³, exactly half the volume of a full sphere with the same radius - a hemisphere with radius 6 has a volume of 2/3 × π × 6³ ≈ 452.39 cubic units.
- Curved SA = 2πr², exactly half a full sphere's surface area (4πr²) - for radius 6, that's 2 × π × 6² ≈ 226.19 square units.
- Total SA = 3πr² adds the flat circular base (πr²) to the curved surface (2πr²) - for radius 6, that's 3 × π × 6² ≈ 339.29 square units, useful for finding how much material covers the whole dome including its base.
How do I find the volume of a hemisphere?
Use V = 2/3πr³ - exactly half a full sphere's volume. A hemisphere with radius 6 has a volume of 2/3 × π × 6³ ≈ 452.39.
What is the difference between curved and total surface area of a hemisphere?
Curved surface area (2πr²) is just the dome; total surface area (3πr²) also includes the flat circular base.