Final answer:
To derive the formula for the volume of a cone, we can use the information given about the volume of a pyramid and the relationship between a cone and a pyramid.
Step-by-step explanation:
To derive the formula for the volume of a cone, we can use the information given about the volume of a pyramid and the relationship between a cone and a pyramid. The volume of a pyramid is one-third of the area of its base multiplied by its height.
Since a cone can be thought of as a pyramid with a circular base, we can rewrite the formula as:
Vcone = (1/3) * Abase * hcone
Where Abase is the area of the circular base of the cone and hcone is the height of the cone.