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133 lines
3.2 KiB
Python
133 lines
3.2 KiB
Python
"""
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Find Volumes of Various Shapes.
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Wikipedia reference: https://en.wikipedia.org/wiki/Volume
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"""
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from math import pi, pow
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from typing import Union
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def vol_cube(side_length: Union[int, float]) -> float:
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"""
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Calculate the Volume of a Cube.
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>>> vol_cube(1)
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1.0
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>>> vol_cube(3)
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27.0
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"""
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return pow(side_length, 3)
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def vol_cuboid(width: float, height: float, length: float) -> float:
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"""
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Calculate the Volume of a Cuboid.
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:return multiple of width, length and height
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>>> vol_cuboid(1, 1, 1)
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1.0
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>>> vol_cuboid(1, 2, 3)
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6.0
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"""
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return float(width * height * length)
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def vol_cone(area_of_base: float, height: float) -> float:
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"""
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Calculate the Volume of a Cone.
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Wikipedia reference: https://en.wikipedia.org/wiki/Cone
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:return (1/3) * area_of_base * height
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>>> vol_cone(10, 3)
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10.0
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>>> vol_cone(1, 1)
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0.3333333333333333
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"""
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return area_of_base * height / 3.0
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def vol_right_circ_cone(radius: float, height: float) -> float:
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"""
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Calculate the Volume of a Right Circular Cone.
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Wikipedia reference: https://en.wikipedia.org/wiki/Cone
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:return (1/3) * pi * radius^2 * height
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>>> vol_right_circ_cone(2, 3)
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12.566370614359172
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"""
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return pi * pow(radius, 2) * height / 3.0
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def vol_prism(area_of_base: float, height: float) -> float:
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"""
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Calculate the Volume of a Prism.
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Wikipedia reference: https://en.wikipedia.org/wiki/Prism_(geometry)
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:return V = Bh
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>>> vol_prism(10, 2)
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20.0
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>>> vol_prism(11, 1)
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11.0
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"""
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return float(area_of_base * height)
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def vol_pyramid(area_of_base: float, height: float) -> float:
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"""
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Calculate the Volume of a Pyramid.
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Wikipedia reference: https://en.wikipedia.org/wiki/Pyramid_(geometry)
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:return (1/3) * Bh
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>>> vol_pyramid(10, 3)
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10.0
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>>> vol_pyramid(1.5, 3)
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1.5
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"""
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return area_of_base * height / 3.0
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def vol_sphere(radius: float) -> float:
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"""
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Calculate the Volume of a Sphere.
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Wikipedia reference: https://en.wikipedia.org/wiki/Sphere
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:return (4/3) * pi * r^3
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>>> vol_sphere(5)
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523.5987755982989
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>>> vol_sphere(1)
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4.1887902047863905
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"""
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return 4 / 3 * pi * pow(radius, 3)
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def vol_circular_cylinder(radius: float, height: float) -> float:
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"""Calculate the Volume of a Circular Cylinder.
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Wikipedia reference: https://en.wikipedia.org/wiki/Cylinder
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:return pi * radius^2 * height
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>>> vol_circular_cylinder(1, 1)
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3.141592653589793
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>>> vol_circular_cylinder(4, 3)
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150.79644737231007
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"""
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return pi * pow(radius, 2) * height
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def main():
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"""Print the Results of Various Volume Calculations."""
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print("Volumes:")
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print("Cube: " + str(vol_cube(2))) # = 8
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print("Cuboid: " + str(vol_cuboid(2, 2, 2))) # = 8
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print("Cone: " + str(vol_cone(2, 2))) # ~= 1.33
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print("Right Circular Cone: " + str(vol_right_circ_cone(2, 2))) # ~= 8.38
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print("Prism: " + str(vol_prism(2, 2))) # = 4
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print("Pyramid: " + str(vol_pyramid(2, 2))) # ~= 1.33
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print("Sphere: " + str(vol_sphere(2))) # ~= 33.5
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print("Circular Cylinder: " + str(vol_circular_cylinder(2, 2))) # ~= 25.1
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if __name__ == "__main__":
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main()
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