Hemisphere Surface Area Calculator

Volume (cm³): Surface to Volume Ratio (1/cm):

Base Surface Area (cm²): Cap Surface Area (cm²): Total Surface Area (cm²):

Total Surface Area (m²): Total Surface Area (mm²): Total Surface Area (in²): Total Surface Area (ft²):

Diameter (m):

1. What is a Hemisphere Surface Area Calculator?

Definition: This calculator computes the volume, surface areas (base, cap, and total), and surface-to-volume ratio of a hemisphere based on its radius.

Purpose: Useful for geometric analysis, material estimation, and engineering applications involving hemispherical shapes.

2. How Does the Calculator Work?

Key formulas:

\[ \text{Volume} = \frac{2}{3} \times \pi \times r^3 \] \[ \text{Base Area} = \pi \times r^2 \] \[ \text{Cap Area} = 2 \times \pi \times r^2 \] \[ \text{Total Area} = 3 \times \pi \times r^2 \] \[ \text{Surface to Volume Ratio} = \frac{9}{2 \times r} \]

Explanation: The radius is converted to meters, and all values are calculated and converted to appropriate units (e.g., cm³, cm², cm⁻¹).

3. Importance of Hemisphere Calculations

Details: Essential for determining material requirements, structural stability, and heat transfer in hemispherical objects.

4. Using the Calculator

Tips: Enter radius (mm, cm, m, in, ft; >0). Results include volume (cm³), surface areas (cm², m², mm², in², ft²), surface-to-volume ratio (1/cm), and diameter (m).