What is the ratio of the height of the right circular cone to the radius of the hemisphere?
(1) The right circular cone is inscribed in the hemisphere.
(2) The base of the cone coincides with the base of the hemisphere.
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cone to the radius
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sanju09
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onedayi'll
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IMO A....
i'm not sure about the B, if b is also right then it will be D.
but i'll go with A
i'm not sure about the B, if b is also right then it will be D.
but i'll go with A
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akahuja143
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sanju09
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Posting IMO's won't help the members at large. We must always say a few words in support to our answer.onedayi'll wrote:IMO A....
i'm not sure about the B, if b is also right then it will be D.
but i'll go with A
The mind is everything. What you think you become. -Lord Buddha
Sanjeev K Saxena
Quantitative Instructor
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www.manyagroup.com
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ajith
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1)Sufficient - Height of the right circular cone inscribed in hemisphere is equal to the radiussanju09 wrote:What is the ratio of the height of the right circular cone to the radius of the hemisphere?
(1) The right circular cone is inscribed in the hemisphere.
(2) The base of the cone coincides with the base of the hemisphere.
2) is not sufficient = The height of the cone can vary and thus there is no unique ratio.
Combining
Hence A
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I would think it's C
under 1 - The hemisphere is free to lie in any orientation as long as it is inscribed. Assuming a constant cone, the radius of the hemisphere is larger if it's radius lies ON TOP of the cone's radius than if the crved contour lies on the radius of the hemisphere.
we need 2 to help us align the orientation of the hemisphere
Could be wrong but that's my educated guess
under 1 - The hemisphere is free to lie in any orientation as long as it is inscribed. Assuming a constant cone, the radius of the hemisphere is larger if it's radius lies ON TOP of the cone's radius than if the crved contour lies on the radius of the hemisphere.
we need 2 to help us align the orientation of the hemisphere
Could be wrong but that's my educated guess
