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   





Volume and surface area of a sphere - RF CafeSphere

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Zone and Segment of One Base
 
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Volume and surface area of a sphere - zone and segment of two bases - RF CafeZone and Segment of Two Bases

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Surface area of a sphere - lune - RF CafeLune

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Volume of a sphere - spherical sector - RF CafeSpherical Sector

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Volume and surface area of a cylinder - RF CafeRight Circular Cylinder

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Volume and surface area of a right circular cone - RF CafeRight Circular Cone

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Volume and surface area of a frustrum right circular cone - RF CafeFrustum of Right Circular Cone

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Source: CRC Standard Math Tables, 1987