{"status": "success", "data": {"description_md": "An ice-cream novelty item consists of a cup in the shape of a 4-inch-tall frustum of a right circular cone, with a 2-inch-diameter base at the bottom and a 4-inch-diameter base at the top, packed solid with ice cream, together with a solid cone of ice cream of height 4 inches, whose base, at the bottom, is the top base of the frustum. What is the total volume of the ice cream, in cubic inches? \n\n$\\textbf{(A)}\\ 8\\pi \\qquad \\textbf{(B)}\\ \\frac{28\\pi}{3} \\qquad \\textbf{(C)}\\ 12\\pi \\qquad \\textbf{(D)}\\ 14\\pi \\qquad \\textbf{(E)}\\ \\frac{44\\pi}{3}$\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>An ice-cream novelty item consists of a cup in the shape of a 4-inch-tall frustum of a right circular cone, with a 2-inch-diameter base at the bottom and a 4-inch-diameter base at the top, packed solid with ice cream, together with a solid cone of ice cream of height 4 inches, whose base, at the bottom, is the top base of the frustum. What is the total volume of the ice cream, in cubic inches?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 8\\pi \\qquad \\textbf{(B)}\\ \\frac{28\\pi}{3} \\qquad \\textbf{(C)}\\ 12\\pi \\qquad \\textbf{(D)}\\ 14\\pi \\qquad \\textbf{(E)}\\ \\frac{44\\pi}{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": "2017 AMC 12B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12B_p15", "prev": "/problem/17_amc12B_p13"}}