# 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?

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