Volume = 1/3 height of pyramid multiplied by the area of the triangular base.
V = 1/3 h * area of base.
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2 x Pi, divided by the height.
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 pyramid is any three-dimensional polyhedron where the faces other than the base are triangular and converge at one point, called the apex. The formula for finding the volume of a pyramid is . There are some tutorials at the related link below that can help you figure out how to use this formula.
Volume of a pyramid = 1/3*base area*height
The general formula for any type of pyramid - as well as for cones - is (1/3)Bh, where "B" is the base area, and "h" is the perpendicular height.