Slant Height Calculator: Find Cone & Pyramid Slant Height

Calculate Slant Height for Your Shape

Enter the perpendicular height of the cone.
Enter the radius of the cone's base.

Our free online Slant Height Calculator simplifies complex geometry, allowing you to quickly determine the slant height for cones and pyramids. Whether you're a student, architect, or engineer, this tool provides instant, accurate results based on your inputs like radius, height, or base side length, making tricky calculations effortless and boosting your productivity.

Formula:

Slant Height Formulas

The slant height (l) is the distance along a lateral face or surface from the apex to a point on the base perimeter.

  • For a Cone: The slant height is the hypotenuse of a right-angled triangle formed by the radius and the perpendicular height.
    l = √(r2 + h2)
    • r = Radius of the base
    • h = Perpendicular height of the cone
  • For a Square Pyramid: The slant height is the hypotenuse of a right-angled triangle formed by half the base side length and the perpendicular height.
    l = √((s/2)2 + h2)
    • s = Length of one side of the square base
    • h = Perpendicular height of the pyramid

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