{"status": "success", "data": {"description_md": "An inverted cone with base radius $12 \\text{cm}$ and height $18\\text{cm}$ is full of water. The water is poured into a tall cylinder whose horizontal base has a radius of $24\\text{cm}$. What is the height in centimeters of the water in the cylinder?\n\n$\\textbf{(A) }1.5 \\qquad \\textbf{(B) }3 \\qquad \\textbf{(C) }4 \\qquad \\textbf{(D) }4.5 \\qquad \\textbf{(E) }6$\n___\nFull 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>An inverted cone with base radius  <span class=\"katex--inline\">12 \\text{cm}</span>  and height  <span class=\"katex--inline\">18\\text{cm}</span>  is full of water. The water is poured into a tall cylinder whose horizontal base has a radius of  <span class=\"katex--inline\">24\\text{cm}</span> . What is the height in centimeters of the water in the cylinder?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }1.5 \\qquad \\textbf{(B) }3 \\qquad \\textbf{(C) }4 \\qquad \\textbf{(D) }4.5 \\qquad \\textbf{(E) }6</span> </p>&#10;<hr><p>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": 2, "problem_name": "2021 AMC 12B Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc12B_p07", "prev": "/problem/21_amc12B_p05"}}