The relationship between the volume of a cone and a pyramid:
the volume of cone = volume of pyramid
if and only if the pyramid has circular base and both have equal radii and vertical heights
In this question we need to find the relationship between the volume of a cone and a pyramid.
We know that a pyramid is three dimensional shape with polygon base and trigular lateral faces which meet at vertex.
The formula for the volume of pyramid is,
V = 1/3 * base area * height
As we know a cone is nothing but a pyramid with circular base.
Consider a cone with radius r and vertical height h.
The formula for the volume of cone,
V = 1/3 × π × r² × h
V = 1/3 * area of circle * height
Therefore, the volume of a cone and a pyramid with circular base are equal.
Learn more about the volume of pyramid here:
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