



from __future__ import annotations

from math import pi, pow


def   lowercase_	(   lowerCAmelCase__	:  int | float ):

			"""simple docstring"""





			if side_length < 0:
						raise ValueError("""vol_cube() only accepts non-negative values""" )
			return pow(lowerCAmelCase__			,							3 )


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if height < 0 or radius < 0:
						raise ValueError("""vol_spherical_cap() only accepts non-negative values""" )
			# Volume is 1/3 pi * height squared * (3 * radius - height)
			return 1 / 3 * pi * pow(lowerCAmelCase__			,							2 ) * (3 * radius - height)


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if radius_a < 0 or radius_a < 0 or centers_distance < 0:
						raise ValueError("""vol_spheres_intersect() only accepts non-negative values""" )
			if centers_distance == 0:
						return vol_sphere(min(lowerCAmelCase__			,							lowerCAmelCase__ ) )

			__UpperCAmelCase   :      str										=     (
			    (radius_a - radius_a + centers_distance)
			    * (radius_a + radius_a - centers_distance)
			    / (2 * centers_distance)
			)
			__UpperCAmelCase   :      Dict										=     (
			    (radius_a - radius_a + centers_distance)
			    * (radius_a + radius_a - centers_distance)
			    / (2 * centers_distance)
			)

			return vol_spherical_cap(lowerCAmelCase__			,							lowerCAmelCase__ ) + vol_spherical_cap(lowerCAmelCase__			,							lowerCAmelCase__ )


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if radius_a <= 0 or radius_a <= 0 or centers_distance < 0:
						raise ValueError(
						    """vol_spheres_union() only accepts non-negative values, non-zero radius""" )

			if centers_distance == 0:
						return vol_sphere(max(lowerCAmelCase__			,							lowerCAmelCase__ ) )

			return (
			    vol_sphere(lowerCAmelCase__ )
			    + vol_sphere(lowerCAmelCase__ )
			    - vol_spheres_intersect(lowerCAmelCase__			,							lowerCAmelCase__			,							lowerCAmelCase__ )
			)


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if width < 0 or height < 0 or length < 0:
						raise ValueError("""vol_cuboid() only accepts non-negative values""" )
			return float(width * height * length )


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if height < 0 or area_of_base < 0:
						raise ValueError("""vol_cone() only accepts non-negative values""" )
			return area_of_base * height / 3.0


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if height < 0 or radius < 0:
						raise ValueError("""vol_right_circ_cone() only accepts non-negative values""" )
			return pi * pow(lowerCAmelCase__			,							2 ) * height / 3.0


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if height < 0 or area_of_base < 0:
						raise ValueError("""vol_prism() only accepts non-negative values""" )
			return float(area_of_base * height )


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if height < 0 or area_of_base < 0:
						raise ValueError("""vol_pyramid() only accepts non-negative values""" )
			return area_of_base * height / 3.0


def   lowercase_	(   lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if radius < 0:
						raise ValueError("""vol_sphere() only accepts non-negative values""" )
			# Volume is 4/3 * pi * radius cubed
			return 4 / 3 * pi * pow(lowerCAmelCase__			,							3 )


def   lowercase_	(   lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if radius < 0:
						raise ValueError("""vol_hemisphere() only accepts non-negative values""" )
			# Volume is radius cubed * pi * 2/3
			return pow(lowerCAmelCase__			,							3 ) * pi * 2 / 3


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if height < 0 or radius < 0:
						raise ValueError("""vol_circular_cylinder() only accepts non-negative values""" )
			# Volume is radius squared * height * pi
			return pow(lowerCAmelCase__			,							2 ) * height * pi


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if inner_radius < 0 or outer_radius < 0 or height < 0:
						raise ValueError(
						    """vol_hollow_circular_cylinder() only accepts non-negative values""" )
			if outer_radius <= inner_radius:
						raise ValueError("""outer_radius must be greater than inner_radius""" )
			return pi * (pow(lowerCAmelCase__			,							2 ) - pow(lowerCAmelCase__			,							2 )) * height


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if radius_a < 0 or radius_a < 0 or height < 0:
						raise ValueError("""vol_conical_frustum() only accepts non-negative values""" )
			return (
			    1
			    / 3
			    * pi
			    * height
			    * (pow(lowerCAmelCase__			,							2 ) + pow(lowerCAmelCase__			,							2 ) + radius_a * radius_a)
			)


def   lowercase_	(   lowerCAmelCase__	:  float			,							lowerCAmelCase__	:  float ):

			"""simple docstring"""





			if torus_radius < 0 or tube_radius < 0:
						raise ValueError("""vol_torus() only accepts non-negative values""" )
			return 2 * pow(lowerCAmelCase__			,							2 ) * torus_radius * pow(lowerCAmelCase__			,							2 )


def   lowercase_	(   ):

			"""simple docstring"""





			print("""Volumes:""" )
			print(f'Cube: {vol_cube(2 ) = }' )  # = 8
			print(f'Cuboid: {vol_cuboid(2			,							2			,							2 ) = }' )  # = 8
			print(f'Cone: {vol_cone(2			,							2 ) = }' )  # ~= 1.33
			print(f'Right Circular Cone: {vol_right_circ_cone(2			,							2 ) = }' )  # ~= 8.38
			print(f'Prism: {vol_prism(2			,							2 ) = }' )  # = 4
			print(f'Pyramid: {vol_pyramid(2			,							2 ) = }' )  # ~= 1.33
			print(f'Sphere: {vol_sphere(2 ) = }' )  # ~= 33.5
			print(f'Hemisphere: {vol_hemisphere(2 ) = }' )  # ~= 16.75
			print(f'Circular Cylinder: {vol_circular_cylinder(2			,							2 ) = }' )  # ~= 25.1
			print(f'Torus: {vol_torus(2			,							2 ) = }' )  # ~= 157.9
			print(f'Conical Frustum: {vol_conical_frustum(2			,							2			,							4 ) = }' )  # ~= 58.6
			print(f'Spherical cap: {vol_spherical_cap(1			,							2 ) = }' )  # ~= 5.24
			print(f'Spheres intersetion: {vol_spheres_intersect(2			,							2			,							1 ) = }' )  # ~= 21.21
			print(f'Spheres union: {vol_spheres_union(2			,							2			,							1 ) = }' )  # ~= 45.81
			print(
			    f'Hollow Circular Cylinder: {vol_hollow_circular_cylinder(1			,							2			,							3 ) = }' )  # ~= 28.3


if __name__ == "__main__":
					main()









'''simple docstring'''
from math import pi


def   lowercase_	(   lowerCAmelCase__	:  float ):

			"""simple docstring"""





			return degree / (180 / pi)


if __name__ == "__main__":
					from doctest import testmod

					testmod()




