RedCrab Math Tutorial

# Cone Calculation

• A cone is a solid with a circular base and one vertex

• Cones have two faces (the base and the curved surface), one edge that connects the base to the
curved surface, and one vertex (called the apex).

## Cone Formulas

 The radius of the base of the cone is the distance from the center to the edge Base radius r r = √A / π The diameter of the base of the cone is the longest distance between two points of the base Diameter of the base d d = 2 · r d = √4 · A / π Calculation of the height Height h h = (3 · V) / A h = √L² - r² Calculating the slant height of a cone when the height and the radius are known Slant height L L = √h² + r² The lateral surface of a cone is calculated according to the following formula Lateral surface Sl Sl = (d · π · L) / 2 Dl = (P · L) / 2 The surface is the sum of lateral surface + base area Surface S S = Sl + A Calculation of the volume of a cone from the height and the base area or the radius Volume V V = (A · h) / 3 V = (r² · h) / 3 π (Pi) = 3.14 Advertisement Example with RedCrab Calculator The calculation uses the class Cone Advertisement

 Points, Distance and Midpoint Distance Between Two Points Lines and Gradiants Angle Definition and Relationships Lines and Segments of Triangles Right-Triangles and Pythagorean Circle Square Rectangle Rhombus Rhomboid Trapezoid Cone Pyramid Sphere Spherical Segments and Sectors

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