How to Find the Slant Height of a Cone | Formula l = √(r² + h²) Explained | Limitless Math

Welcome to Limitless Math – your one-stop destination to master math from the ground up.

Learn how to calculate the slant height (l) of a cone using the Pythagorean-based formula:
l = √(r² + h²)

Where:

r = radius of the base

h = vertical height of the cone

l = slant height (hypotenuse of right triangle)

In this geometry short, we’ll show you:
✅ Why this formula works using triangle logic
✅ How to apply it in real-world and test problems
✅ Easy tricks to remember it for exams

🔍 Formula Insight:
This formula comes from the Pythagorean Theorem applied to a right triangle formed inside the cone.

🎯 Best for:
• Geometry students
• SAT & ACT prep
• GCSE, IGCSE, CBSE learners
• Homeschoolers and math enthusiasts

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