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A right circular cone is such that it perfectly fits inside a hollow

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A right circular cone is such that it perfectly fits inside a hollow  [#permalink]

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New post 23 Jul 2017, 23:23
1
4
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

55% (01:28) correct 45% (01:16) wrong based on 80 sessions

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A right circular cone is such that it perfectly fits inside a hollow  [#permalink]

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New post 24 Jul 2017, 07:36
1
Bunuel wrote:
A right circular cone is such that it perfectly fits inside a hollow sphere. What is the height of the cone?

(1) The radius of the sphere is 6.
(2) The radius of the cone is 4.


It should be C.

Statement 1: Insufficient

We do not know the anything about the height of the base of the cone from base of the sphere (distance DE in the picture attached). Nor do we know anything about the sphere.

Statement 2: Insufficient

We have no idea of diameter of sphere.

Combined. We have Hypotenuse and base of triangles OBD and OCD in the picture. We can calculate distance to centre O (measurement X). X added to radius should give height of the cone.

Note: this diagram is purely for educational purposes and any symbolism is completely unintentional.
Attachments

cone.jpg
cone.jpg [ 51.68 KiB | Viewed 799 times ]


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Re: A right circular cone is such that it perfectly fits inside a hollow  [#permalink]

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New post 24 Jul 2017, 08:41
Bunuel wrote:
A right circular cone is such that it perfectly fits inside a hollow sphere. What is the height of the cone?

(1) The radius of the sphere is 6.
(2) The radius of the cone is 4.



Best way forward to solve this question is by drawing figures.

Answer option C

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IMG_20170724_210907.jpg [ 2.8 MiB | Viewed 740 times ]


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Re: A right circular cone is such that it perfectly fits inside a hollow  [#permalink]

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New post 01 Jan 2019, 08:22
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A right circular cone is such that it perfectly fits inside a hollow   [#permalink] 01 Jan 2019, 08:22
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