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# A right cylindrical container with radius 2 meters and height 1 meter

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Math Expert
Joined: 02 Sep 2009
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A right cylindrical container with radius 2 meters and height 1 meter  [#permalink]

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01 Aug 2018, 23:30
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Difficulty:

5% (low)

Question Stats:

86% (01:04) correct 14% (01:16) wrong based on 101 sessions

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A right cylindrical container with radius 2 meters and height 1 meter is filled to capacity with oil. How many empty right cylindrical cans, each with radius 1/2 meter and height 4 meters, can be filled to capacity with the oil in this container?

(A) 1

(B) 2

(C) 4

(D) 8

(E) 16

Project PS Butler : Question #68

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Re: A right cylindrical container with radius 2 meters and height 1 meter  [#permalink]

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01 Aug 2018, 23:42
Bunuel wrote:
A right cylindrical container with radius 2 meters and height 1 meter is filled to capacity with oil. How many empty right cylindrical cans, each with radius 1/2 meter and height 4 meters, can be filled to capacity with the oil in this container?

(A) 1

(B) 2

(C) 4

(D) 8

(E) 16

Volume of the bigger cylinder = π*2^2*1 = 4 π
Volume of the smaller cylinder = π*(1/2)^2*4 = π
Therefore number of smaller Cylinder required = 4 π / π = 4

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Re: A right cylindrical container with radius 2 meters and height 1 meter  [#permalink]

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01 Aug 2018, 23:54
ans: B
Volume of Cylinder = Pi*r^2*h
Volume of One = Volume of n ; we need to find n so.
Pi*(2^2)*1= n * Pi * (1/2)^2 * 4
Pi* 4 = n* Pi *1/4 * 4
n = 4

Bunuel wrote:
A right cylindrical container with radius 2 meters and height 1 meter is filled to capacity with oil. How many empty right cylindrical cans, each with radius 1/2 meter and height 4 meters, can be filled to capacity with the oil in this container?
(A) 1 (B) 2 (C) 4 (D) 8 (E) 16

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Re: A right cylindrical container with radius 2 meters and height 1 meter  [#permalink]

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02 Aug 2018, 01:44
Bunuel wrote:
A right cylindrical container with radius 2 meters and height 1 meter is filled to capacity with oil. How many empty right cylindrical cans, each with radius 1/2 meter and height 4 meters, can be filled to capacity with the oil in this container?

Volume of cylinder = π * r^2 * h

Volume 1 = π * 2^2 * 1 = 4π
Volume 2 = π * (1/2)^2 * 4 = π

Number of Cylinder = Volume 1 / Volume 2 = 4π / π = 4

Hence, C.
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Re: A right cylindrical container with radius 2 meters and height 1 meter  [#permalink]

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10 Feb 2019, 22:16
Bunuel wrote:
A right cylindrical container with radius 2 meters and height 1 meter is filled to capacity with oil. How many empty right cylindrical cans, each with radius 1/2 meter and height 4 meters, can be filled to capacity with the oil in this container?

(A) 1

(B) 2

(C) 4

(D) 8

(E) 16

Project PS Butler : Question #68

Great question

So initial volume = pi r^2 h = 4 pi

Now this has to be filled in cylinders having volume as 1/4 * 4 * pi = pi

4 such cylinders can be filled

C
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Re: A right cylindrical container with radius 2 meters and height 1 meter   [#permalink] 10 Feb 2019, 22:16
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