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Write a Python function `volume_of_cone(radius, height)` that calculates the volume of a cone given its radius and height. The formula for the volume of a cone is: \[ V = \frac{1}{3} \pi r^2 h \] where: - \( r \) is the radius of the base of the cone, - \( h \) is the height of the cone, - \( \pi \) is a mathematical constant approximately equal to 3.14159. #### Example Usage ```python [main.nopy] print(volume_of_cone(5, 12)) # Expected output: 314.1592653589793 print(volume_of_cone(10, 15)) # Expected output: 1570.7963267948965 ```
import math def volume_of_cone(radius, height): """ Calculate the volume of a cone given its radius and height. Args: radius (float): The radius of the cone's base. height (float): The height of the cone. Returns: float: The volume of the cone. """ # Placeholder for the solution pass