MathDB
1987 AMC 12 #22 - Ball in Ice

Source:

January 1, 2012
Pythagorean TheoremgeometryAMC

Problem Statement

A ball was floating in a lake when the lake froze. The ball was removed (without breaking the ice), leaving a hole 2424 cm across as the top and 88 cm deep. What was the radius of the ball (in centimeters)?
<spanclass=latexbold>(A)</span> 8<spanclass=latexbold>(B)</span> 12<spanclass=latexbold>(C)</span> 13<spanclass=latexbold>(D)</span> 83<spanclass=latexbold>(E)</span> 66 <span class='latex-bold'>(A)</span>\ 8 \qquad<span class='latex-bold'>(B)</span>\ 12 \qquad<span class='latex-bold'>(C)</span>\ 13 \qquad<span class='latex-bold'>(D)</span>\ 8\sqrt{3} \qquad<span class='latex-bold'>(E)</span>\ 6\sqrt{6}