# Gun Goofed

**Algebra**Level 3

The number of uniform spherical shot that can be made from a given mass of lead varies inversely as the cube of the radius of the shot required. When the radius of the shot is \(1\text{ mm}\), the number of shot is \(4096\). How many shot of radius \(1.6\text{ mm}\) can be made from the given mass of lead?