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
what is the volume of sand Indiana Jones needs to avoid triggering the mechanism?