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# V is the volume of a cylinder; the radius of the cylinder is 3.4. The

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Math Expert
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V is the volume of a cylinder; the radius of the cylinder is 3.4. The [#permalink]

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29 Jun 2016, 06:58
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V is the volume of a cylinder; the radius of the cylinder is 3.4. The height of the cylinder is 550% more than the radius. Which of the following is true?

A. 100 < V < 300
B. 300 < V < 500
C. 500 < V < 700
D. 700 < V < 900
E. 900 < V < 1100
[Reveal] Spoiler: OA

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V is the volume of a cylinder; the radius of the cylinder is 3.4. The [#permalink]

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29 Jun 2016, 07:32
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Volume of a cylinder is pi*(r^2)*h

h>5.5r+r ---> h>6.5*3.4

So, volume is > 3.14*3.4*3.4*6.5*3.4=800 (approx)

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Last edited by 14101992 on 29 Jun 2016, 08:02, edited 1 time in total.
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Re: V is the volume of a cylinder; the radius of the cylinder is 3.4. The [#permalink]

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29 Jun 2016, 07:36
Answer is D : 700 < V < 900

Volume of cylinder is $$\pi$$$$r^2$$h

Given r = 3.4 and h is 550% more than r, which means r = 6.5 * r (if 100% more then it means twice, so..)

So V = $$\pi$$$${3.4}^2$$* 6.5
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Joined: 04 Jun 2016
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V is the volume of a cylinder; the radius of the cylinder is 3.4. The [#permalink]

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29 Jun 2016, 08:43
Senthil1981 wrote:
Answer is D : 700 < V < 900

Volume of cylinder is $$\pi$$$$r^2$$h

Given r = 3.4 and h is 550% more than r, which means r = 6.5 * r (if 100% more then it means twice, so..)

So V = $$\pi$$$${3.4}^2$$* 6.5

You forgot to multiply 3.4 one more time (value of r)
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Re: V is the volume of a cylinder; the radius of the cylinder is 3.4. The [#permalink]

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29 Jun 2016, 19:41
Bunuel wrote:
V is the volume of a cylinder; the radius of the cylinder is 3.4. The height of the cylinder is 550% more than the radius. Which of the following is true?

A. 100 < V < 300
B. 300 < V < 500
C. 500 < V < 700
D. 700 < V < 900
E. 900 < V < 1100

Height=3.4*6.5=22.1

Volume = pi*r^2*h=pi*3.4^2*22.1= approx 800

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Re: V is the volume of a cylinder; the radius of the cylinder is 3.4. The [#permalink]

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29 Jun 2016, 21:52
As we see the answers are in form of range we can use approximation

Volume of cylinder is πr^2h

Given π= 22/7 and r = 3.4 so r^2 ~ 12 and h = 6.5 * 3.4 ~ 21

So 22/7 * 12 * 21 = 792

D. 700 < V < 900
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Re: V is the volume of a cylinder; the radius of the cylinder is 3.4. The [#permalink]

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31 Aug 2017, 06:54
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Re: V is the volume of a cylinder; the radius of the cylinder is 3.4. The   [#permalink] 31 Aug 2017, 06:54
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