Water Slide problem
Author : Tatjana Vinokurova
The owners of a water park decided to create a new attraction - a spiral slide around a cylindrical aquarium with fish . The height of the cylindrical aquarium is 10 meters , but the diameter can vary from 2.5 meters to 5 meters . According to safety requirements , the angle of inclination of the slide relative to the horizontal level should be 30 degrees . Which cylinder diameter better satisfies the conditions : 1 ) the maximum possible length of the slides ; 2 ) material consumption of the cylindrical aquarium is minimal ?
Related Topics and Concepts : Geometry , Functions Real Life Context : Construction engineering