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    Cone Volume

    Result

    V = 1/3 π a^2 h
(for a circular right cone with center at the origin, height h, radius a)

    Example plots

    Example plots

    Equation

    x^2 + y^2<=(a^2 (h - z)^2)/h^2 and 0<=z<=h

    Solid properties

    (0, 0, h)

    1

    h

    s = sqrt(a^2 + h^2)

    S = π a (sqrt(a^2 + h^2) + a)

    x^_ = (0, 0, h/4)

    I = (1/20 (3 a^2 + 2 h^2) | 0 | 0
0 | 1/20 (3 a^2 + 2 h^2) | 0
0 | 0 | (3 a^2)/10)

    Distance properties

    max(2 a, sqrt(a^2 + h^2))

    χ = 1

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