{"status": "success", "data": {"description_md": "The graph $\\lfloor x \\rfloor - \\lfloor y \\rfloor = 0$ is graphed for all $0 \\le x,y \\le 24$. When this graph is rotated around the line $y=x$, the resulting figure has a volume of $\\pi\\sqrt{x}$. Find $x$.\n", "description_html": "<p>The graph <span class=\"katex--inline\">\\lfloor x \\rfloor - \\lfloor y \\rfloor = 0</span> is graphed for all <span class=\"katex--inline\">0 \\le x,y \\le 24</span>. When this graph is rotated around the line <span class=\"katex--inline\">y=x</span>, the resulting figure has a volume of <span class=\"katex--inline\">\\pi\\sqrt{x}</span>. Find <span class=\"katex--inline\">x</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "March Break 2024 - Problem 6", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}