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# A cone can be formed when a sector was removed from a circle

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Current Student
Joined: 11 May 2008
Posts: 552
A cone can be formed when a sector was removed from a circle [#permalink]

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01 Aug 2008, 03:27
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A cone can be formed when a sector was removed from a circle and the edges of the remaining segment were joined. What is the height of the cone formed?
(1) The radius of the original circle is 12.
(2) A 90 degree sector was removed from the circle.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient
Director
Joined: 27 May 2008
Posts: 539

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01 Aug 2008, 04:10
IMO C,

you need to visualse it.....
VP
Joined: 17 Jun 2008
Posts: 1325

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03 Aug 2008, 01:29
arjtryarjtry wrote:
A cone can be formed when a sector was removed from a circle and the edges of the remaining segment were joined. What is the height of the cone formed?
(1) The radius of the original circle is 12.
(2) A 90 degree sector was removed from the circle.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

to get height of cone we need to know the latent height (which rad of circle here) and radius of the base of the cone hence to know this we should know angle of sector removed and hence both (1) and (2) together solve and not individually => IMO C
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cheers
Its Now Or Never

VP
Joined: 17 Jun 2008
Posts: 1325

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03 Aug 2008, 01:29
arjtryarjtry wrote:
A cone can be formed when a sector was removed from a circle and the edges of the remaining segment were joined. What is the height of the cone formed?
(1) The radius of the original circle is 12.
(2) A 90 degree sector was removed from the circle.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

to get height of cone we need to know the latent height (which rad of circle here) and radius of the base of the cone hence to know this we should know angle of sector removed and hence both (1) and (2) together solve and not individually => IMO C
_________________

cheers
Its Now Or Never

Manager
Joined: 23 Apr 2008
Posts: 83

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03 Aug 2008, 07:27
IMO C

12 BECOMES D SLANT HEIGHT..V GET THE LENGTH OF D ARC BY THE ANGLE AND RADIUS AND BY APPLYING PYTHA THEOREM V CAN FIND D HEIGHT.

AGREE WID DURGESH,VISUALISATION IMP
Re: cone   [#permalink] 03 Aug 2008, 07:27
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# A cone can be formed when a sector was removed from a circle

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