MathDB
3D Geo? At #3?

Source: 2022 AIME II Problem 3

February 17, 2022
AMCAIMEAIME II

Problem Statement

A right square pyramid with volume 5454 has a base with side length 6.6. The five vertices of the pyramid all lie on a sphere with radius mn\frac mn, where mm and nn are relatively prime positive integers. Find m+nm+n.