Final answer:
The equation for the volume of the cone is V = (1/12)πs^3.
Step-by-step explanation:
To find the volume of the cone, we need to use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height. In this case, the diameter and height of the cone are equal to the side length of the cube, s. Since the diameter of a circle is equal to twice the radius, we can say that the radius of the base of the cone is s/2. Therefore, the equation for the cone's volume is V = (1/3)π(s/2)^2(s/2) = (1/12)πs^3.
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