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# What is the ratio of the volume of a cylinder with radius r and height

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Math Expert
Joined: 02 Sep 2009
Posts: 55670
What is the ratio of the volume of a cylinder with radius r and height  [#permalink]

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08 Jan 2019, 05:18
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Difficulty:

25% (medium)

Question Stats:

82% (01:03) correct 18% (01:02) wrong based on 20 sessions

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What is the ratio of the volume of a cylinder with radius r and height h to the volume of a cylinder with radius h and height r?

A. r/h

B. h/r

C. 1/1

D. $$\frac{\pi r}{h}$$

E. $$\frac{h}{\pi r}$$

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Joined: 18 Aug 2017
Posts: 3889
Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: What is the ratio of the volume of a cylinder with radius r and height  [#permalink]

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08 Jan 2019, 05:27
Bunuel wrote:
What is the ratio of the volume of a cylinder with radius r and height h to the volume of a cylinder with radius h and height r?

A. r/h

B. h/r

C. 1/1

D. $$\frac{\pi r}{h}$$

E. $$\frac{h}{\pi r}$$

pi * r^2 * h / pi * h^2*r
= r/h
IMO A
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Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9330
Location: Pune, India
Re: What is the ratio of the volume of a cylinder with radius r and height  [#permalink]

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08 Jan 2019, 05:42
Bunuel wrote:
What is the ratio of the volume of a cylinder with radius r and height h to the volume of a cylinder with radius h and height r?

A. r/h

B. h/r

C. 1/1

D. $$\frac{\pi r}{h}$$

E. $$\frac{h}{\pi r}$$

Volume of cylinder with radius r and height h = $$\pi*r^2*h$$

Volume of cylinder with radius h and height r = $$\pi*h^2*r$$

Required Ratio = $$\frac{\pi*r^2*h}{\pi*h^2*r} = \frac{r}{h}$$
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Karishma
Veritas Prep GMAT Instructor

Re: What is the ratio of the volume of a cylinder with radius r and height   [#permalink] 08 Jan 2019, 05:42
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