01 · SPHERE FORMULAS
Sphere Equations
SPHERE & HEMISPHERE FORMULAS
Core Formulas
• Sphere Surface Area: S = 4 × π × r²
• Sphere Volume: V = 4/3 × π × r³
• Hemisphere Curved Surface Area (CSA): CSA = 2 × π × r²
• Hemisphere Total Surface Area (TSA): TSA = 3 × π × r²
• Hemisphere Volume: V = 2/3 × π × r³
02 · SOLVED EXAMPLE
Hemisphere Calculation
SOLVED EXAMPLE
Find the TSA and Volume of a hemisphere of radius 21 cm
1. Calculate TSA = 3πr²:
TSA = 3 × (22/7) × 21 × 21 = 3 × 22 × 3 × 21 = 4158 cm²
2. Calculate Volume = 2/3 πr³:
V = (2/3) × (22/7) × 21³ = (2/3) × (22/7) × 9261 = 2 × 22 × 441 = 19,404 cm³