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Added 2 shaped in volume.py (#5560)

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Snimerjot Singh 2021-11-04 21:38:18 +05:30 committed by GitHub
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maths/volume.py
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@ -153,6 +153,21 @@ def vol_sphere(radius: float) -> float:
return 4 / 3 * pi * pow(radius, 3) return 4 / 3 * pi * pow(radius, 3)
def vol_hemisphere(radius: float):
"""Calculate the volume of a hemisphere
Wikipedia reference: https://en.wikipedia.org/wiki/Hemisphere
Other references: https://www.cuemath.com/geometry/hemisphere
:return 2/3 * pi * radius^3
>>> vol_hemisphere(1)
2.0943951023931953
>>> vol_hemisphere(7)
718.3775201208659
"""
return 2 / 3 * pi * pow(radius, 3)
def vol_circular_cylinder(radius: float, height: float) -> float: def vol_circular_cylinder(radius: float, height: float) -> float:
"""Calculate the Volume of a Circular Cylinder. """Calculate the Volume of a Circular Cylinder.
Wikipedia reference: https://en.wikipedia.org/wiki/Cylinder Wikipedia reference: https://en.wikipedia.org/wiki/Cylinder
@ -166,6 +181,26 @@ def vol_circular_cylinder(radius: float, height: float) -> float:
return pi * pow(radius, 2) * height return pi * pow(radius, 2) * height
def vol_conical_frustum(height: float, radius_1: float, radius_2: float):
"""Calculate the Volume of a Conical Frustum.
Wikipedia reference: https://en.wikipedia.org/wiki/Frustum
:return 1/3 * pi * height * (radius_1^2 + radius_top^2 + radius_1 * radius_2)
>>> vol_conical_frustum(45, 7, 28)
48490.482608158454
>>> vol_conical_frustum(1, 1, 2)
7.330382858376184
"""
return (
1
/ 3
* pi
* height
* (pow(radius_1, 2) + pow(radius_2, 2) + radius_1 * radius_2)
)
def main(): def main():
"""Print the Results of Various Volume Calculations.""" """Print the Results of Various Volume Calculations."""
print("Volumes:") print("Volumes:")
@ -176,7 +211,9 @@ def main():
print("Prism: " + str(vol_prism(2, 2))) # = 4 print("Prism: " + str(vol_prism(2, 2))) # = 4
print("Pyramid: " + str(vol_pyramid(2, 2))) # ~= 1.33 print("Pyramid: " + str(vol_pyramid(2, 2))) # ~= 1.33
print("Sphere: " + str(vol_sphere(2))) # ~= 33.5 print("Sphere: " + str(vol_sphere(2))) # ~= 33.5
print("Hemisphere: " + str(vol_hemisphere(2))) # ~= 16.75
print("Circular Cylinder: " + str(vol_circular_cylinder(2, 2))) # ~= 25.1 print("Circular Cylinder: " + str(vol_circular_cylinder(2, 2))) # ~= 25.1
print("Conical Frustum: " + str(vol_conical_frustum(2, 2, 4))) # ~= 58.6
print("Spherical cap: " + str(vol_spherical_cap(1, 2))) # ~= 5.24 print("Spherical cap: " + str(vol_spherical_cap(1, 2))) # ~= 5.24
print("Spheres intersetion: " + str(vol_spheres_intersect(2, 2, 1))) # ~= 21.21 print("Spheres intersetion: " + str(vol_spheres_intersect(2, 2, 1))) # ~= 21.21