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