MathCastle
TrigonometrySuperchallenge

Trigonometry · Superchallenge problem

A spool consists of a hub of radius 22 cm between two end rims of radius 55 cm. The rims rest on a table. A string wound around the hub leaves from the BOTTOM of the hub and runs horizontally to your hand. You pull the string horizontally, and the spool rolls toward your hand without slipping. When your hand has moved 3030 cm, how far has the spool's axle moved, in cm?

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