How to calculate the slant height of a cone?
1 answer(s)
It's quite straightforward, actually. Imagine slicing the cone right through its center, from the tip to the base. What you see is a right-angled triangle.
The cone's vertical height (h) is one of the straight sides. The radius (r) of its circular base is the other straight side. The slant height (l) is simply the hypotenuse, which is the sloping side of that triangle.
So, we just need to apply the Pythagorean theorem here. The formula is: l² = r² + h².
To find the slant height (l), you take the square root of the sum of the squares of the radius and the height. So, l = √(r² + h²). Just plug in your values for r and h, and you're sorted