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{{ printedBook.courseTrack.name }} {{ printedBook.name }} The volume of a cone is one third of the product of its base area and height: $V=31 Bh.$ The base area is the area of the circle, and the height is measured perpendicular to the base. As the base is a circle, its area is dependent on its radius. Thus, the base area can instead be expressed in terms of the radius: $V=31 πr_{2}h.$ By Cavalieri's principle, the volume is the same regardless of where the apex is located, so long as it is at the same height.