https://artofproblemsolving.com/wiki/index.php?title=2007_iTest_Problems/Problem_50&feed=atom&action=history 2007 iTest Problems/Problem 50 - Revision history 2021-09-17T20:41:12Z Revision history for this page on the wiki MediaWiki 1.31.1 https://artofproblemsolving.com/wiki/index.php?title=2007_iTest_Problems/Problem_50&diff=64627&oldid=prev Timneh: Created page with "== Problem == A block [itex]Z[/itex] is formed by gluing one face of a solid cube with side length [itex]6[/itex] onto one of the circular faces of a right circular cylinder wit..." 2014-10-08T03:03:47Z <p>Created page with &quot;== Problem == A block &lt;math&gt;Z&lt;/math&gt; is formed by gluing one face of a solid cube with side length &lt;math&gt;6&lt;/math&gt; onto one of the circular faces of a right circular cylinder wit...&quot;</p> <p><b>New page</b></p><div>== Problem ==<br /> <br /> A block &lt;math&gt;Z&lt;/math&gt; is formed by gluing one face of a solid cube with side length &lt;math&gt;6&lt;/math&gt; onto one of the circular faces of a right circular cylinder with radius &lt;math&gt;10&lt;/math&gt; and height &lt;math&gt;3&lt;/math&gt; so that the centers of the square and circle coincide. If &lt;math&gt;V&lt;/math&gt; is the smallest convex region that contains &lt;math&gt;Z&lt;/math&gt;, calculate &lt;math&gt;\lfloor\operatorname{vol}V\rfloor&lt;/math&gt; (the greatest integer less than or equal to the volume of &lt;math&gt;V&lt;/math&gt;). <br /> <br /> == Solution ==</div> Timneh