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A cylindrical container with a radius of 3 and a height of 4 is half f

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Bunuel
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A cylindrical container with a radius of 3 and a height of 4 is half f [#permalink] New post   24 Jun 2023, 13:08
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A cylindrical container with a radius of 3 and a height of 4 is half filled with water. If this water is poured into a new cylindrical container with a radius of 6 and a height of 8, what fraction of the new container will be filled?

(A) 1/64
(B) 1/16
(C) 1/8
(D) 1/4
(E) 1/2
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exuberantvivek
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Re: A cylindrical container with a radius of 3 and a height of 4 is half f [#permalink] New post   24 Jun 2023, 13:25
Answer is (B) 1/16 part will be filled.
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Re: A cylindrical container with a radius of 3 and a height of 4 is half f [#permalink] New post   24 Jun 2023, 13:44
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exuberantvivek wrote:
Answer is (B) 1/16 part will be filled.


Thank you! However, I believe most readers are particularly interested in understanding the solution process. Could you possibly elaborate on that?
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Re: A cylindrical container with a radius of 3 and a height of 4 is half f [#permalink] New post   24 Jun 2023, 22:20
Bunuel wrote:
A cylindrical container with a radius of 3 and a height of 4 is half filled with water. If this water is poured into a new cylindrical container with a radius of 6 and a height of 8, what fraction of the new container will be filled?


Volume of water before and after will be same.

Cylinder A:
r=3, h=2 [Half filled]

Cylinder B:
r=6, h=8

\(\Pi*3^2*2= \Pi*6^2*h\)
\(h=1/2\)

Fraction of new container filled\(=(1/2)/8=1/16\)

Hence Option B

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Re: A cylindrical container with a radius of 3 and a height of 4 is half f [#permalink]
24 Jun 2023, 22:20
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