What is the difference between slant height and height of a cone

By rearranging the terms in the Pythagorean theorem, we can solve for other lengths: The radius r can be found using the formula where s is the slant height h is the altitude. The altitude h can be found using the formula where s is the slant height r is the base radius. Home Contact About Subject Index. Definition: The distance from the top of a cone, down the side to a point on the edge of the base. The height of the cone is the length of the altitude. The axis of the cone is the segment whose endpoints are the vertex and the center of the base.

If the axis is perpendicular to the plane of the circle, the cone is a right cone otherwise it is an oblique cone. The slant height of a right cone is the length of the segment from the vertex of the cone to the circle of the base. Slant height is not defined for oblique cones. A cone is closely related to a pyramid. So, the formulas for their surface areas and volume are related. So, the formula for the lateral surface area of a right cone is L. Example Find the lateral surface area of a right cone if the radius is 4 cm and the slant height is 5 cm.

Slant Height Formula Before learning the slant height formula, let us see what is slant height. Break down tough concepts through simple visuals. Math will no longer be a tough subject, especially when you understand the concepts through visualizations with Cuemath. Calculate its slant height. Example 2: The height and base radius of a circular cone measure 4 m and 3 m respectively.