 <translate> 189. The inside dimensions of a rectangular wooden box
are 12 inches by 14 inches by 16 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Options:
(A)  3
(B)  4
(C)  5
(D)  6
(E)  7 Hmmm, my stream of consciousness: <yor> Iye wọn jẹ́ 189. Ìwọ̀n inú àpótí onígi onígun mẹ́rin tí wọ́n fi igi ṣe 12 inches ni 14 inches ni 16 inches. Àpótí onípákó A ó fi ìgò náà sínú àpótí náà kí ó lè dúró dúró nígbà tí àpótí tí a fi pa mọ́ dúró lórí ọ̀kan lára àwọn méje tó wà nínú rẹ̀ ojú wọn. Nínú gbogbo irú àwọn àgbá tí a lè lò, èwo ló dára jù lọ? awọn radius, ni inches, ti ọkan ti o ni o pọju báwo ni wọ́n ṣe pọ̀ tó? Àwọn àyè: (A) 3 (B) 4 (C) 5 (D) 6 ì (E) 7 Hmmm, ìmójútó mi: 