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Geometry - Cylinders, Cones & Spheres

Here are formulas for some of the most commonly used cylinders, cones, and spheres, all with symmetry about the axis of rotation. Equations for surface area and circumference are provided.

    B₁= area of lower base
    B₂= area of upper base
    D = diameter
    h = altitude
    R = radius of base
    S = lateral surface
    s = slant length,
    T = total surface
    V = volume

Sphere

Zone and Segment of One Base

Zone and Segment of Two Bases

Lune

,

in radians

Spherical Sector

Right Circular Cylinder

Right Circular Cone

Frustum of Right Circular Cone

Source: CRC Standard Math Tables, 1987

Webmaster: Kirt Blattenberger, BSEE, UVM 1989