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The base of a right circular cylinder is inscribed in a squa
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22 Jan 2020, 02:14
22 Jan 2020, 02:14
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The base of a right circular cylinder is inscribed in a square that has an area of 36. If the height of the cylinder is double its diameter, which of the following is closest to the volume of the cylinder?
A. 150
B. 170
C. 300
D. 340
E. 480
A. 150
B. 170
C. 300
D. 340
E. 480
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The base of a right circular cylinder is inscribed in a squa
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22 Jan 2020, 06:56
22 Jan 2020, 06:56
huda wrote:
The base of a right circular cylinder is inscribed in a square that has an area of 36. If the height of the cylinder is double its diameter, which of the following is closest to the volume of the cylinder?
A. 150
B. 170
C. 300
D. 340
E. 480
A. 150
B. 170
C. 300
D. 340
E. 480
If a square has area 36, then each side of the square must have length 6
So, if a circle is inscribed in the square, that circle must have a diameter of 6 (which means the radius equals 3)
We're told that the cylinder's height is twice its diameter, so the height of the cylinder must be 12
Cylinder volume = πr²h
= π(3²)(12)
= 108π
≈ 108(a bit more than 3)
≈ a bit more than 324
Answer: D
Cheers,
Brent
Re: The base of a right circular cylinder is inscribed in a squa
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27 Oct 2024, 20:51
27 Oct 2024, 20:51
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
