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2017 AMC 10A Problems/Problem 11

Revision as of 14:50, 8 February 2017 by Jp1970184 (talk | contribs) (Created page with "==Problem== The region consisting of all point in three-dimensional space within 3 units of line segment <math>\overline{AB}</math> has volume 216<math>\pi</math>. What is th...")
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Problem

The region consisting of all point in three-dimensional space within 3 units of line segment $\overline{AB}$ has volume 216$\pi$. What is the length $\textit{AB}$?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 12\qquad\textbf{(C)}\ 18\qquad\textbf{(D)}\ 20\qquad\textbf{(E)}\ 24$

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