{"status": "success", "data": {"description_md": "When a right triangle is rotated about one leg, the volume of the cone produced is $800 \\pi$ $\\text{cm}^3$. When the triangle is rotated about the other leg, the volume of the cone produced is $1920 \\pi$ $\\text{cm}^3$. What is the length (in cm) of the hypotenuse of the triangle?\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>When a right triangle is rotated about one leg, the volume of the cone produced is <span class=\"katex--inline\">800 \\pi</span> <span class=\"katex--inline\">\\text{cm}^3</span>. When the triangle is rotated about the other leg, the volume of the cone produced is <span class=\"katex--inline\">1920 \\pi</span> <span class=\"katex--inline\">\\text{cm}^3</span>. What is the length (in cm) of the hypotenuse of the triangle?</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "1985 AIME Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/85_aime_p03", "prev": "/problem/85_aime_p01"}}