lens and radius of curvature

[vsl5]

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If​

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all lenses shown below are made from the same type of
glass, which lens will have the greatest positive power in​

diopters?
A. convex lens with large radius of curvature
B. concave lens with small radius of curvature
C. convex lens with small radius of curvature
D. concave lens with large radius of curvature

So I know it has to be a convex lens since its positive power and I chose C because P=1/f and so the greatest power comes when f is smallest. since f= r/2 , I reasoned that f is smallest when r is smallest, leading me to answer C. But the answer is A and the explanation simply says that thicker lens will converge light more (i think this means f is smallest) but this contradicts f = r/2. Please explain

 

[addo]

I would also go with C. I dont think radius of curvature has anything to do with thickness of the lens.

 

[Salient]

Yeah, I would have picked C.

If you understand what you do, I wouldn't worry about lens problems on the MCAT. I think they're over-complicating this one.