Volume & Surface Area of a pyramid within an isohedron Hi Maths
heads I want to find the mathmatical formula for a pyramid
within a sphere. Consider a spere of any radius R I want to cut
out a pyramid with vertex at the centre of the sphere and the
cutting through the sphere at radius R The angle between the
opposite planes of the vertex is 'theta' ie the volume of the
pyramid must be a multiple wjole number 'n'. Also the surface
area of the base of the pyramid which is part of the curved
surface area of the sphere is to be the same multiple of the
surface area of the sphere. I am tryoing to work out an easy
formula for a isohedron where the sphere is divided into a
square pattern and therefore the shere is divided fully into
these square units. As i cannot draw a diagram here, any
clarifications would be welcome. Re: Volume & Surface Area of a
pyramid within an isohedron To clarify the base of the pyramid
is dome shaped and follows the curvature of the sphere surface.