
"""simple docstring"""




from __future__ import annotations

from math import pi, pow

def __snake_case (      UpperCamelCase    )       ->    List[Any]:


		"""simple docstring"""





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

def __snake_case (      UpperCamelCase						,					UpperCamelCase    )       ->    List[Any]:


		"""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 __snake_case (      UpperCamelCase						,					UpperCamelCase						,					UpperCamelCase    )       ->    Dict:


		"""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    )    )

		a__   		=     (
		    (radius_a - radius_a + centers_distance)
		    * (radius_a + radius_a - centers_distance)
		    / (2 * centers_distance)
		)
		a__   		=     (
		    (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 __snake_case (      UpperCamelCase						,					UpperCamelCase						,					UpperCamelCase    )       ->    Dict:


		"""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 __snake_case (      UpperCamelCase						,					UpperCamelCase						,					UpperCamelCase    )       ->    int:


		"""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 __snake_case (      UpperCamelCase						,					UpperCamelCase    )       ->    str:


		"""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 __snake_case (      UpperCamelCase						,					UpperCamelCase    )       ->    int:


		"""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 __snake_case (      UpperCamelCase						,					UpperCamelCase    )       ->    Tuple:


		"""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 __snake_case (      UpperCamelCase						,					UpperCamelCase    )       ->    int:


		"""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 __snake_case (      UpperCamelCase    )       ->    Optional[Any]:


		"""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 __snake_case (      UpperCamelCase    )       ->    Union[str, Any]:


		"""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 __snake_case (      UpperCamelCase						,					UpperCamelCase    )       ->    Any:


		"""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 __snake_case (      UpperCamelCase						,					UpperCamelCase						,					UpperCamelCase    )       ->    List[Any]:


		"""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 __snake_case (      UpperCamelCase						,					UpperCamelCase						,					UpperCamelCase    )       ->    List[str]:


		"""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 __snake_case (      UpperCamelCase						,					UpperCamelCase    )       ->    Optional[int]:


		"""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 __snake_case (      )       ->    str:


		"""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()










from __future__ import annotations

from math import pi, pow



def     lowerCAmelCase		(		_lowerCAmelCase				: int | float						):




 """simple docstring"""







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



def     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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__							=    (
     (radius_a - radius_a + centers_distance)
     * (radius_a + radius_a - centers_distance)
     / (2 * centers_distance)
 )
 UpperCAmelCase__							=    (
     (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     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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     lowerCAmelCase		(		_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     lowerCAmelCase		(		):




 """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()





