Solid vs Hollow Hemisphere Calculations
When calculating hemispheres, you must clarify whether you are finding:
- Interior Capacity: The volume of liquid or air the hollow hemisphere holds.
- Shell Volume: The volume of material (glass, metal, stone) used to manufacture the container.
Bowl Capacity Problem
A mixing bowl has an inner diameter of 20 cm (inner radius r = 10 cm). What is its maximum liquid capacity in liters?
V = (2/3) × π × 10³ = (2000 × 3.14159) / 3 ≈ 2,094.4 cm³
Since 1,000 cm³ = 1 Liter, capacity = 2.09 Liters.