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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   





Volume and surface area of a sphere - RF CafeSphere




Zone and Segment of One Base
 

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


Surface area of a sphere - lune - RF CafeLune

,  in radians
Volume of a sphere - spherical sector - RF CafeSpherical Sector

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



  

  


Source: CRC Standard Math Tables, 1987

RF Cafe Software

RF Cascade Workbook
 RF Cascade Workbook is a very extensive system cascaded component Excel workbook that includes the standard Gain, NF, IP2, IP3, Psat calculations, input & output VSWR, noise BW, min/max tolerance, DC power cauculations, graphing of all RF parameters, and has a graphical block diagram tool. An extensive User's Guide is also included. - Only $35.
RF system analysis including
frequency conversion & filters

Smith Chart™ for Excel
Smith Chart™ for Visio
RF & EE Symbols Word
RF Stencils for Visio
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