Hemisphere Surface Area Calculator
Calculate the surface area of a hemisphere by entering the radius. A hemisphere is exactly half of a sphere including the flat circular base.
🌗 Hemisphere Surface Area
Formula
Hemisphere Surface Area Formulas
Total Surface Area
Includes curved surface and flat circular base
Curved Surface Area
Only the curved surface, excluding the base
Base Area
Area of the flat circular base
Volume
Volume of the hemisphere
Hemisphere Surface Area Examples
Example 1: Small Hemisphere
Given: Radius = 3 cm
Formula: SA = 3πr²
Solution: SA = 3π × 3² = 3π × 9 = 27π ≈ 84.82 cm²
Example 2: Medium Hemisphere
Given: Radius = 6 cm
Formula: SA = 3πr²
Solution: SA = 3π × 6² = 3π × 36 = 108π ≈ 339.29 cm²
Example 3: Large Hemisphere
Given: Radius = 10 cm
Formula: SA = 3πr²
Solution: SA = 3π × 10² = 3π × 100 = 300π ≈ 942.48 cm²
Hemisphere Surface Area FAQ
What is a hemisphere?
A hemisphere is exactly half of a sphere, created by cutting a sphere along a plane that passes through its center. It includes both the curved surface and the flat circular base.
How do you calculate hemisphere surface area?
Total surface area uses SA = 3πr², which includes the curved surface (2πr²) plus the flat base (πr²).
Why is the hemisphere formula 3πr²?
It combines the curved surface area (half of a sphere's 4πr² = 2πr²) plus the circular base area (πr²), totaling 3πr².
How does hemisphere surface area compare to a sphere?
A hemisphere has 3/4 the surface area of a complete sphere (3πr² vs 4πr²) because it includes the additional flat base.