How to Use This Calculator
- Enter the radius of the hemisphere in the input field. The radius is the distance from the center of the circular base to any point on the curved surface.
- Click the "Calculate" button to compute the volume and surface area.
- The results will be displayed in the respective fields below.
- If you want to start over, click the "Reset" button to clear all inputs and results.
Understanding the Formulas
The calculator uses the following formulas:
- Volume of a hemisphere: V = (2/3)πr³
- Surface area of a hemisphere: SA = πr²
Where π (pi) is a mathematical constant approximately equal to 3.14159.
Applications
A hemisphere calculator can be useful in various fields including:
- Mathematics education for understanding 3D geometry
- Engineering and design for hemispherical structures
- Physics for calculating properties of spherical objects
- Geography for modeling hemispherical land formations
Example
If you enter a radius of 5 units:
- Volume = (2/3)π(5)³ = (2/3)π(125) ≈ 261.799 cubic units
- Surface Area = π(5)² = 25π ≈ 78.540 square units