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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
The cross section and bottom view of a flowerpot are shown above. If t
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13 Apr 2022, 07:31
13 Apr 2022, 07:31
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The cross section and bottom view of a flowerpot are shown above. If the pot is filled to the top with water (approximate density 16 grams per cubic inch), approximately how many grams of water does the pot hold?
A. \(100\pi\)
B. \(144\pi\)
C. \(192\pi\)
D. \(200\pi\)
E. \(400\pi\)
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The cross section and bottom view of a flowerpot are shown above. If t
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13 Apr 2022, 08:23
13 Apr 2022, 08:23
1
GeminiHeat wrote:
The cross section and bottom view of a flowerpot are shown above. If the pot is filled to the top with water (approximate density 16 grams per cubic inch), approximately how many grams of water does the pot hold?
A. \(100\pi\)
B. \(144\pi\)
C. \(192\pi\)
D. \(200\pi\)
E. \(400\pi\)
We can treat the above shape as consisting of 3 separate cylinders
So, the volume of the flower pot = (volume of cylinder with height 1 and diameter 3) + (volume of cylinder with height 1 and diameter 4) + (volume of cylinder with height 1 and diameter 5)
= (volume of cylinder with height 1 and RADIUS 1.5) + (volume of cylinder with height 1 and RADIUS 2) + (volume of cylinder with height 1 and RADIUS 2.5)
Volume of cylinder \(= \pi r^2 h\)
So, the volume of the flower pot \(= (\pi)(1.5^2)(1)+(\pi)(2^2)(1)+(\pi)(2.5^2)(1)\)
\(= (\pi)(2.25)(1)+(\pi)(4)(1)+(\pi)(6.25)(1)\)
\(= 2.25\pi+4\pi+6.25\pi\)
\(= 12.5\pi\) cubic inches
GIVEN: approximate density 16 grams per cubic inch
So, weight of water in flower pot \(= (16)(12.5\pi) = 200\pi\)
Answer: D
Cheers,
Brent
General Discussion
Re: The cross section and bottom view of a flowerpot are shown above. If t
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29 Jul 2023, 14:04
29 Jul 2023, 14:04
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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).
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