The height of the pyramid in the diagram is three the radius of the cone. The bad area of the pyramid is the same as the base area of the cone. What is expression for the volume of the pyramid in terms of the radius r of the cone?

Question

Vocaloid · Answer

V_pyramid = (1/3)*pi*bh
where b is the base area and h is the height
the base area on both shapes is equal, but height is not
the height of the pyramid is 3r where r is the radius of the cone

so you can plug 3r for h in the pyramid formula