{"status": "success", "data": {"description_md": "Logan is constructing a scaled model of his town. The city's water tower stands $40$ meters high, and the top portion is a sphere that holds $100,000$ liters of water. Logan's miniature water tower holds 0.1 liters. How tall, in meters, should Logan make his tower?\n\n$\\textbf{(A)}\\ 0.04 \\qquad \\textbf{(B)}\\ \\frac{0.4}{\\pi} \\qquad \\textbf{(C)}\\ 0.4 \\qquad \\textbf{(D)}\\ \\frac{4}{\\pi} \\qquad \\textbf{(E)}\\ 4$", "description_html": "<p>Logan is constructing a scaled model of his town. The city&#8217;s water tower stands <span class=\"katex--inline\">40</span> meters high, and the top portion is a sphere that holds <span class=\"katex--inline\">100,000</span> liters of water. Logan&#8217;s miniature water tower holds 0.1 liters. How tall, in meters, should Logan make his tower?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ 0.04 \\qquad \\textbf{(B)}\\ \\frac{0.4}{\\pi} \\qquad \\textbf{(C)}\\ 0.4 \\qquad \\textbf{(D)}\\ \\frac{4}{\\pi} \\qquad \\textbf{(E)}\\ 4</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2010 AMC 10A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc10A_p13", "prev": "/problem/10_amc10A_p11"}}