In 1932, giuseppe momo was commissioned to build the famous vatican museum double spiral staircase. suppose that it takes you one hour to stroll at a constant speed up one spiral of this staircase, which has a radius of 18 feet and a height of 50 feet and makes 5 revolutions. (a) assuming the spiral staircase is centered about the z-axis, find a vector parametric equation for the helical path you take from the point (18, 0, 0) to the point (18, 0, 50) that makes 5 revolutions during the time interval 0 lessthanorequalto t lessthanorequalto 1. r vector (t) = (b) how far did you walk? feet