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Australian AMC 2010 - Intermediate Question 27

AMC AUSTRALIA · Australian AMC 2010 - Intermediate

Question 27

Two $10\times18\times\ell$ blocks are placed on either side of a cylinder of length $\ell$ to stop it from rolling. One block has a $10\times\ell$ face on the ground while the other has an $18\times\ell$ face on the ground. The block on the left sticks out 4 units more than the one on the right.

Question illustration

What is the radius of the cylinder?