Hemisphere Calculator
Easily solve for any missing dimension of a hemisphere. This tool provides precise calculations for volume and area, essential for school projects and engineering designs.
Volume (V) = (2/3)πr³
Total Surface Area (A) = 3πr²
Curved Surface Area = 2πr²
Base Area = πr²
For a hemisphere with a radius of 5 cm: • Volume: (2/3) * π * 125 ≈ 261.80 cm³ • Total Area: 3 * π * 25 ≈ 235.62 cm²
What is a hemisphere?
A hemisphere is half of a sphere. It is formed by a plane passing through the center of a sphere, dividing it into two equal parts.
What is the volume formula for a hemisphere?
The volume of a hemisphere is exactly half the volume of a sphere: V = (2/3)πr³, where r is the radius.
What is the difference between total and curved surface area?
The curved surface area (2πr²) only includes the rounded part of the hemisphere. The total surface area (3πr²) includes the curved part PLUS the flat circular base (πr²).
How do I find the radius from the volume?
To find the radius when you know the volume, use the formula: r = ∛(3V / 2π).
🔗 Related Calculators
📐 Formula
Volume (V) = (2/3)πr³
Total Surface Area (A) = 3πr²
Curved Surface Area = 2πr²
Base Area = πr²
📝 Example Calculation
For a hemisphere with a radius of 5 cm: • Volume: (2/3) * π * 125 ≈ 261.80 cm³ • Total Area: 3 * π * 25 ≈ 235.62 cm²
❓ Frequently Asked Questions
What is a hemisphere?▼
A hemisphere is half of a sphere. It is formed by a plane passing through the center of a sphere, dividing it into two equal parts.
What is the volume formula for a hemisphere?▼
The volume of a hemisphere is exactly half the volume of a sphere: V = (2/3)πr³, where r is the radius.
What is the difference between total and curved surface area?▼
The curved surface area (2πr²) only includes the rounded part of the hemisphere. The total surface area (3πr²) includes the curved part PLUS the flat circular base (πr²).
How do I find the radius from the volume?▼
To find the radius when you know the volume, use the formula: r = ∛(3V / 2π).