In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag
of sand. The platform on which the statue is placed is designed to detect the mass of the statue. If the bag
of sand has a different mass than the statue, then a mechanism triggers and destruction ensues.
The density of gold is about 20 g/cm". The density of sand can be estimated at 2.5 g/cm. The solid-
gold statue can be modeled as a cylinder with height 15 cm and radius 4 cm.
In terms of t, what is the volume of sand Indiana Jones needs to avoid triggering the mechanism?