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    Cone Graph

    Result

    (skeleton graph is not a property of a finite cone)

    Visual representation

    (drawn with base radius 1 and height 2)

    Equation

    (x^2 + y^2 = (r^2 (z - h)^2)/h^2 and 0<z<=h) or (x^2 + y^2<=r^2 and z = 0) (assuming base radius r, height h, apex (0, 0, h), and base center (0, 0, 0))

    Properties

    slant height | sqrt(h^2 + r^2) volume | 1/3 π h r^2≈1.0472 h r^2 lateral surface area | π r sqrt(h^2 + r^2)≈3.14159 r sqrt(h^2 + r^2) base area | π r^2 base circumference | 2 π r≈6.28319 r surface area | π r (sqrt(h^2 + r^2) + r)≈3.14159 r (sqrt(h^2 + r^2) + r) angle | tan^(-1)(h/r) radians (assuming base radius r, height h, apex (0, 0, h), and base center (0, 0, 0))

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