Yes, it is a pyramid and a circle on the bottom
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Wouldn't a circle-based pyramid look a lot like a cone ? If so, you could probably use the formula for the volume of a cone and get away with it.
A cone ?
A cone
Start with a regular tetrahedron (triangular based pyramid). As you increase the number of sides in the base of the pyramid, the shape becomes more and more like a right cone. In the limit, the base tends to a polygon with an infinite number of sides - a circle, and the pyramid tends to a right cone.
a cone has a round surface and a circle bottom, but a pyramid has 5 squares. * * * * * A pyramid does not have 5 squares! It has a polygonal base with any number of sides. Attached to each of these sides, it has a triangle, and they meet at an apex.