{"status": "success", "data": {"description_md": "Two right circular cylinders have the same volume. The radius of the second cylinder is $10\\%$ more than the radius of the first. What is the relationship between the heights of the two cylinders?\n\n$\\textbf{(A)}\\  \\text{The second height is } 10\\% \\text{ less than the first.} \\\\ \\textbf{(B)}\\  \\text{The first height is } 10\\% \\text{ more than the second.}\\\\ \\textbf{(C)}\\ \\text{The second height is } 21\\% \\text{ less than the first.} \\\\ \\textbf{(D)}\\ \\text{The first height is } 21\\% \\text{ more than the second.}\\\\ \\textbf{(E)}\\ \\text{The second height is } 80\\% \\text{ of the first.}$", "description_html": "<p>Two right circular cylinders have the same volume. The radius of the second cylinder is  <span class=\"katex--inline\">10\\%</span>  more than the radius of the first. What is the relationship between the heights of the two cylinders?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\  \\text{The second height is } 10\\% \\text{ less than the first.} \\\\ \\textbf{(B)}\\  \\text{The first height is } 10\\% \\text{ more than the second.}\\\\ \\textbf{(C)}\\ \\text{The second height is } 21\\% \\text{ less than the first.} \\\\ \\textbf{(D)}\\ \\text{The first height is } 21\\% \\text{ more than the second.}\\\\ \\textbf{(E)}\\ \\text{The second height is } 80\\% \\text{ of the first.}</span> </p>\n<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": 1, "problem_name": "2015 AMC 10A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10A_p10", "prev": "/problem/15_amc10A_p08"}}