Function vol_conical_frustum

maths/volume.py:443–479

| Calculate the Volume of a Conical Frustum. | Wikipedia reference: https://en.wikipedia.org/wiki/Frustum >>> vol_conical_frustum(45, 7, 28) 48490.482608158454 >>> vol_conical_frustum(1, 1, 2) 7.330382858376184 >>> vol_conical_frustum(1.6, 2.6, 3.6) 48.7240076620753

(height: float, radius_1: float, radius_2: float)

def vol_conical_frustum(height: float, radius_1: float, radius_2: float) -> float:
    """
    | Calculate the Volume of a Conical Frustum.
    | Wikipedia reference: https://en.wikipedia.org/wiki/Frustum

    >>> vol_conical_frustum(45, 7, 28)
    48490.482608158454
    >>> vol_conical_frustum(1, 1, 2)
    7.330382858376184
    >>> vol_conical_frustum(1.6, 2.6, 3.6)
    48.7240076620753
    >>> vol_conical_frustum(0, 0, 0)
    0.0
    >>> vol_conical_frustum(-2, 2, 1)
    Traceback (most recent call last):
        ...
    ValueError: vol_conical_frustum() only accepts non-negative values
    >>> vol_conical_frustum(2, -2, 1)
    Traceback (most recent call last):
        ...
    ValueError: vol_conical_frustum() only accepts non-negative values
    >>> vol_conical_frustum(2, 2, -1)
    Traceback (most recent call last):
        ...
    ValueError: vol_conical_frustum() only accepts non-negative values
    """
    # Volume is 1/3 * pi * height *
    #           (radius_1 squared + radius_2 squared + radius_1 * radius_2)
    if radius_1 < 0 or radius_2 < 0 or height < 0:
        raise ValueError("vol_conical_frustum() only accepts non-negative values")
    return (
        1
        / 3
        * pi
        * height
        * (pow(radius_1, 2) + pow(radius_2, 2) + radius_1 * radius_2)
    )


def vol_torus(torus_radius: float, tube_radius: float) -> float: