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cone to the radius

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by sanju09 » Fri Feb 12, 2010 11:17 pm
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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by onedayi'll » Sat Feb 13, 2010 12:43 pm
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
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by akahuja143 » Sat Feb 13, 2010 6:01 pm
I would go with A..
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by sanju09 » Mon Feb 15, 2010 5:19 am
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
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by ajith » Mon Feb 15, 2010 6:04 am
sanju09 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.
1)Sufficient - Height of the right circular cone inscribed in hemisphere is equal to the radius

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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by m&m » Mon Feb 15, 2010 8:19 am
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
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