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This problem trains for: AMC-8, SAT-II, Math Kangaroo 7-8, Math Kangaroo 5-6, SAT-I.

The diameter of a cylinder triples and its height shrinks to a third of what it was. The percentage change in the volume of the cylinder is:

Use the formula for the volume of a cylinder:

equation

to compute the initial volume of the cylinder:

equation

as well as the final volume after the transformations:

equation

equation

equation

equation

equation

The percent change in the volume is:

equation