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# One cylinder stands inside another cylinder, what is the volume of the

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Math Expert
Joined: 02 Sep 2009
Posts: 50002
One cylinder stands inside another cylinder, what is the volume of the  [#permalink]

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09 Sep 2018, 08:52
00:00

Difficulty:

35% (medium)

Question Stats:

70% (01:08) correct 30% (00:44) wrong based on 50 sessions

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One cylinder stands inside another cylinder, what is the volume of the space between the two cylinders?

(1) The difference in radius between the outer cylinder and the inner cylinder is 3.
(2) The difference in height between the outer cylinder and the inner cylinder is 15.

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Joined: 20 Feb 2015
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Concentration: Strategy, General Management
One cylinder stands inside another cylinder, what is the volume of the  [#permalink]

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26 Sep 2018, 23:24
Bunuel wrote:
One cylinder stands inside another cylinder, what is the volume of the space between the two cylinders?

(1) The difference in radius between the outer cylinder and the inner cylinder is 3.
(2) The difference in height between the outer cylinder and the inner cylinder is 15.

volume of the space between two cylinders = difference between the volumes of the two cylinders
$$\pi$$$$R^2$$H- $$\pi$$$$r^2$$h= $$\pi(R^2H - r^2h)$$

(1) The difference in radius between the outer cylinder and the inner cylinder is 3.
R-r = 3
R and r can have various possible combinations (3,1) (5,2) (100,97)
not sufficient

(2) The difference in height between the outer cylinder and the inner cylinder is 15
H-h = 15
again H and h can have various possible combination

not sufficient

E
One cylinder stands inside another cylinder, what is the volume of the &nbs [#permalink] 26 Sep 2018, 23:24
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