An idealized sand timer consists of spherical sand particles with radius 0.1 millimeter funneled from a cylinder with a radius of 1 centimeter into a circular hole with a radius of 1 millimeter. The total height of the sand in the cylinder is 3 centimeters. On the surface of Earth, it takes 4 minutes for the sand to drain completely. If the same sand timer is used on a planet with a surface gravity of 3.3 meters per second squared, to the nearest minute, how long will it take for the sand to drain completely?