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National and Regional Contests
Turkey Contests
National Olympiad First Round
2010 National Olympiad First Round
21
21
Part of
2010 National Olympiad First Round
Problems
(1)
Turkey NMO 2010 1st Round - P21 (Geometry)
Source:
7/26/2012
A right circular cone and a right cylinder with same height
20
20
20
does not have same circular base but the circles are coplanar and their centers are same. If the cone and the cylinder are at the same side of the plane and their base radii are
20
20
20
and
10
10
10
, respectively, what is the ratio of the volume of the part of the cone inside the cylinder over the volume of the part of the cone outside the cylinder?
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<span class='latex-bold'>(A)</span>\ 3 \qquad<span class='latex-bold'>(B)</span>\ 2 \qquad<span class='latex-bold'>(C)</span>\ \frac{5}{3} \qquad<span class='latex-bold'>(D)</span>\ \frac{4}{3} \qquad<span class='latex-bold'>(E)</span>\ 1
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geometry
3D geometry
ratio