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When one figure is inscribed in another, this means that each vertex of the inscribed figure touches the surface of the outer figure. So the tip of the cone must touch the surface of the hemisphere. Since the cone is a right circular cone (it isn't slanted in some odd way), the tip of the cone must...

by icrlp05

Sat Dec 12, 2009 8:28 am
Forum: Problem Solving
Topic: OG 12 Diagnostic Q. 20
Replies: 4
Views: 2581

OG 12 Diagnostic Q. 20

20. A right circular cone is inscribed in a hemisphere so that the base of the cone coincides with the base of the hemisphere. What is the ratio of the height of the cone to the radius of the hemisphere? (A) Root (3):1 (B) 1:1 (C) 0.5:1 (D) Root (2):1 (E) 2:1 Could anyone explain this question pleas...

by icrlp05

Sat Dec 12, 2009 3:36 am
Forum: Problem Solving
Topic: OG 12 Diagnostic Q. 20
Replies: 4
Views: 2581