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1952 AMC 12 Question 41

AMC12 · 1952 AMC 12

Question 41

Increasing the radius of a cylinder by $6$ units increases the volume by $y$ cubic units. Increasing the altitude of the cylinder by $6$ units also increases the volume by $y$ cubic units. If the original altitude is $2,$ then the original radius is:
  1. $2$
  2. $4$
  3. $6$
  4. $6\pi$
  5. $8$