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23 Jul 2017, 23:23
Kudos
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C
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Difficulty:
55%
(hard)
Question Stats:
53% (01:26) correct
47%
(01:21)
wrong
based on 93
sessions
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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.
(1) The radius of the sphere is 6.
(2) The radius of the cone is 4.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
24 Jul 2017, 07:36
Kudos
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Bunuel
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 [ 51.68 KiB | Viewed 2413 times ]
24 Jul 2017, 08:41
Kudos
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Bunuel
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 2322 times ]
