How to Calculate Cone
What is Cone?
A cone is a 3D shape with a circular base that tapers to a point (apex). It appears in architecture (roofs, towers), nature (pine trees), and everyday objects (ice cream cones, funnels).
Step-by-Step Guide
- 1Identify radius r (base) and height h (perpendicular from base to apex)
- 2Slant height: l = √(r² + h²)
- 3Volume: V = ⅓πr²h
- 4Lateral (curved) surface area: LA = πrl
- 5Total surface area: SA = πr(r + l)
Worked Examples
Input
r=5, h=12
Result
V=314.16, SA=282.74
l=√(25+144)=13
Input
r=3, h=4
Result
V=37.70, SA=75.40
l=5 (3-4-5 triple)
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