ITAMO problem 1
Source: ITAMO 2018
May 9, 2018
geometry3D geometry
Problem Statement
A bottle in the shape of a cone lies on its base. Water is poured into the bottle until its level reaches a distance of 8 centimeters from the vertex of the cone (measured vertically). We now turn the bottle upside down without changing the amount of water it contains; This leaves an empty space in the upper part of the cone that is 2 centimeters high.Find the height of the bottle.