Re: [math-fun] conical fallacy

Volume of "round bottomed pyramid" = (s-1)6 + (h-r+1/2)/3 where s is the volume of the sphere and r is it's radius. That assumes that "at height h above the center of one such square" refers to the center of a "spherical square", not the center of the face of the cube. Brent On 3/8/2016 2:00 AM, rwg wrote:

--rwg Problem: Project a (unit, say) cube onto its circumsphere, producing six "spherical squares". What is the volume of the round-bottomed "pyramid" whose apex lies at height h above the center of one such square?