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Slant height of a Right Circular Cone
l = √(r² + h²)
Where: h = height, l = slant height, r = radius of the base
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: h = 7, r = 5
Find: l (slant height)
- Formula: l = √(h² + r²)
- Substitute the values: l = √(5² + 7²)
- Result: l = 8.602325
Answer: l = 8.602325
Calculator
How to calculate Slant height of a Right Circular Cone
- Write down the formula: l = √(r² + h²).
- Note the known values (h, r).
- Substitute them and simplify to find l.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Slant height of a Right Circular Cone?
The formula is l = √(r² + h²), where h = height, l = slant height, r = radius of the base.
What is Slant height of a Right Circular Cone when h = 7, r = 5?
l = 8.602325. Substitute the values into l = √(r² + h²) and simplify.