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# Rectangle WXYZ has a length of 6 and a width of 2. Rectangle AYZB bise

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Math Expert
Joined: 02 Sep 2009
Posts: 60646
Rectangle WXYZ has a length of 6 and a width of 2. Rectangle AYZB bise  [#permalink]

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30 Oct 2018, 02:38
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Difficulty:

25% (medium)

Question Stats:

86% (01:27) correct 14% (01:24) wrong based on 16 sessions

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Rectangle WXYZ has a length of 6 and a width of 2. Rectangle AYZB bisects right cylinders ABC and D. If all the cylinders have the same radius, what is the combined volume of the four half-cylinders?

A. 6π
B. 9π
C. 12π
D. 18π
E. 21π

Attachment:

cird09.png [ 17.03 KiB | Viewed 431 times ]

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Re: Rectangle WXYZ has a length of 6 and a width of 2. Rectangle AYZB bise  [#permalink]

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30 Oct 2018, 02:54
Bunuel wrote:

Rectangle WXYZ has a length of 6 and a width of 2. Rectangle AYZB bisects right cylinders ABC and D. If all the cylinders have the same radius, what is the combined volume of the four half-cylinders?

A. 6π
B. 9π
C. 12π
D. 18π
E. 21π

Attachment:
cird09.png

Combined Volume of 4 congruent half cylinders = Volume of two complete cylinders $$= 2*πr^2h$$

i.e. Volume of two complete cylinders $$= 2*π*(\frac{2}{2})^2*6 = 12π$$

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Re: Rectangle WXYZ has a length of 6 and a width of 2. Rectangle AYZB bise   [#permalink] 30 Oct 2018, 02:54
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