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A solid cylindrical tank of diameter 6 cm is placed inside a hollow co

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Director
Joined: 18 Feb 2019
Posts: 608
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
A solid cylindrical tank of diameter 6 cm is placed inside a hollow co  [#permalink]

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05 Mar 2019, 10:05
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Difficulty:

15% (low)

Question Stats:

81% (01:49) correct 19% (01:45) wrong based on 26 sessions

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A solid cylindrical tank of diameter 6 cm is placed inside a hollow conical container of radius 10 cm. If the height of the conical & the cylindrical containers are in ratio 3:2, what percent of the volume of conical container is occupied by the cylindrical container?

A. 4.5%
B. 9%
C. 18%
D. 27%
E. 72%
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5484
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A solid cylindrical tank of diameter 6 cm is placed inside a hollow co  [#permalink]

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19 Mar 2019, 11:23
1
kiran120680 wrote:
A solid cylindrical tank of diameter 6 cm is placed inside a hollow conical container of radius 10 cm. If the height of the conical & the cylindrical containers are in ratio 3:2, what percent of the volume of conical container is occupied by the cylindrical container?

A. 4.5%
B. 9%
C. 18%
D. 27%
E. 72%

vol of cylinder = pi * r^2* h
height of cone/ height of cyld = 3/2
height of cylinder = 2 *hcone/3
so
vol of cyld= pi *9*2*hcone/3 = 6pi*hcone

vol of cone = 1/3 * pi *r^2 h = 1/3 * 100 pi * hcone
so ratio
18/100 = 18%
IMO C
Re: A solid cylindrical tank of diameter 6 cm is placed inside a hollow co   [#permalink] 19 Mar 2019, 11:23
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