{"status": "success", "data": {"description_md": "Eight spheres of radius 1, one per octant, are each tangent to the coordinate planes. What is the radius of the smallest sphere, centered at the origin, that contains these eight spheres?\n\n$\\mathrm {(A)}\\ \\sqrt{2}  \\qquad<br>\\mathrm {(B)}\\ \\sqrt{3}  \\qquad<br>\\mathrm {(C)}\\ 1+\\sqrt{2}\\qquad<br>\\mathrm {(D)}\\ 1+\\sqrt{3}\\qquad<br>\\mathrm {(E)}\\ 3$\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>Eight spheres of radius 1, one per octant, are each tangent to the coordinate planes. What is the radius of the smallest sphere, centered at the origin, that contains these eight spheres?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm {(A)}\\ \\sqrt{2}  \\qquad\\mathrm {(B)}\\ \\sqrt{3}  \\qquad\\mathrm {(C)}\\ 1+\\sqrt{2}\\qquad\\mathrm {(D)}\\ 1+\\sqrt{3}\\qquad\\mathrm {(E)}\\ 3</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": 3, "problem_name": "2005 AMC 12B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12B_p17", "prev": "/problem/05_amc12B_p15"}}