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# In the formula V = 1/(2r)^3, if r is halved, then V is multi

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In the formula V = 1/(2r)^3, if r is halved, then V is multi [#permalink]  15 Jul 2008, 11:39
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In the formula V = 1/(2r)^3, if r is halved, then V is multiplied by

A. 64
B. 8
C. 1
D. 1/8
E. 1/64
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Feb 2014, 04:10, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: PS: formula V= 1/(2r)^3 [#permalink]  15 Jul 2008, 11:42

Make r = 1/2, V = 1

Make r = 1, v = 1/8
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J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$. GMAT Club Premium Membership - big benefits and savings Senior Manager Joined: 07 Jan 2008 Posts: 297 Followers: 1 Kudos [?]: 32 [0], given: 0 Re: PS: formula V= 1/(2r)^3 [#permalink] 15 Jul 2008, 12:00 I always mess up these kinds... Say r=2 => V1 = 1/64 when r=1; V2 = 1/8 V2 = 8*V1. B? SVP Joined: 30 Apr 2008 Posts: 1888 Location: Oklahoma City Schools: Hard Knocks Followers: 38 Kudos [?]: 505 [0], given: 32 Re: PS: formula V= 1/(2r)^3 [#permalink] 15 Jul 2008, 12:05 I totally agree with you. I mess them up to and about did this one. I saw that if I make 2r = 1, then r=1/2 so to the power of 3 doesn't matter, it's still 1/1. Then I did r =1 (double it) so then V = 1/8. So I was thinking oh, go from 1 to 1/8 multiply by 1/8...but I had worked the problem backwards. There are tricks the authors throw at us, and then there are tricks we bring to the test ourselves. We have to eliminate our own tricks. Easier said than done! mbawaters wrote: I always mess up these kinds... Say r=2 => V1 = 1/64 when r=1; V2 = 1/8 V2 = 8*V1. B? _________________ ------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

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Re: PS: formula V= 1/(2r)^3 [#permalink]  15 Jul 2008, 12:09
So isnt the qtn essentially testing us on: if r is halved then what should V be multiplied by to retain the intial formula???
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Re: PS: formula V= 1/(2r)^3 [#permalink]  15 Jul 2008, 14:30
vksunder wrote:
So isnt the qtn essentially testing us on: if r is halved then what should V be multiplied by to retain the intial formula???

I think its asking us to reflect the changes in the value of V if r is halved!
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Re: PS: formula V= 1/(2r)^3 [#permalink]  15 Jul 2008, 22:22
vksunder wrote:
So isnt the qtn essentially testing us on: if r is halved then what should V be multiplied by to retain the intial formula???

Not really, it's asking what happens to V when r is halved. In this type of problems, just pick an easy value for r and solve both equations.
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Re: In the formula V= 1/(2r)^3, if r is halved, then V is [#permalink]  21 Feb 2014, 02:14
Can someone solve this question with an explanation?

Thanks
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Re: In the formula V= 1/(2r)^3, if r is halved, then V is [#permalink]  21 Feb 2014, 04:28
Expert's post
benjamin09 wrote:
Can someone solve this question with an explanation?

Thanks

In the formula V = 1/(2r)^3, if r is halved, then V is multiplied by

A. 64
B. 8
C. 1
D. 1/8
E. 1/64

Given: $$V = \frac{1}{(2r)^3}=\frac{1}{8r^3}$$

Now, halved r is r/2, substitute r/2 instead of r: $$V' = \frac{1}{(2*\frac{r}{2})^3}=\frac{1}{r^3}$$.

$$V =\frac{1}{8r^3}$$ should be multiplied by 8 to get $$V'=\frac{1}{r^3}$$.

Or:
When r=2, then $$V = \frac{1}{(2r)^3}=\frac{1}{64}$$.
When r=1, then $$V' = \frac{1}{(2r)^3}=\frac{1}{8}$$.

1/64 should be multiplied by 8 to get 1/8.

Similar question to practice: if-the-function-q-is-defined-by-the-formula-q-5w-4x-z-131051.html

Hope it helps.
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Re: In the formula V = 1/(2r)^3, if r is halved, then V is multi [#permalink]  21 Feb 2014, 06:34
Thanks a lot Bunuel!
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Re: In the formula V = 1/(2r)^3, if r is halved, then V is multi [#permalink]  07 Apr 2015, 19:28
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Re: In the formula V = 1/(2r)^3, if r is halved, then V is multi   [#permalink] 07 Apr 2015, 19:28
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