1952 AHSME Problem 41

Increasing the radius of a cylinder by 6 units increased the volume by y cubic units. Increasing the height of the cylinder by 6 units also increases the volume by y cubic units. If the original height is 2, then the original radius is:

\text{(A) } 2 \qquad \text{(B) } 4 \qquad \text{(C) } 6 \qquad \text{(D) } 6\pi \qquad \text{(E) } 8

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.