01 · CONE FORMULAS
Surface Area & Volume Formulas
CONE FORMULAS
Right Circular Cone Equations
1. Slant Height (l): l = √(r² + h²)
2. Curved Surface Area (CSA): CSA = π × r × l
3. Total Surface Area (TSA): TSA = πrl + πr² = πr (l + r)
4. Volume (V): V = 1/3 × π × r² × h
02 · SOLVED EXAMPLE
Finding CSA and Volume
SOLVED EXAMPLE
Find the CSA and Volume of a cone with radius 7 cm and height 24 cm
1. Find slant height l:
l = √(7² + 24²) = √(49 + 576) = √625 = 25 cm
2. Calculate CSA:
CSA = (22/7) × 7 × 25 = 22 × 25 = 550 cm²
3. Calculate Volume:
V = 1/3 × (22/7) × 7² × 24 = 1/3 × 22 × 7 × 24 = 22 × 7 × 8 = 1232 cm³