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# Cylinder A has the same volume as cylinder B, what is the ratio of the

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Math Expert
Joined: 02 Sep 2009
Posts: 53063
Cylinder A has the same volume as cylinder B, what is the ratio of the  [#permalink]

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04 Sep 2018, 22:43
00:00

Difficulty:

25% (medium)

Question Stats:

85% (00:58) correct 15% (00:47) wrong based on 16 sessions

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Cylinder A has the same volume as cylinder B, what is the ratio of the radius of cylinder A to the radius of cylinder B?

(1) The height of A is twice that of B.
(2) The volume of cylinder A is 30π.

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Re: Cylinder A has the same volume as cylinder B, what is the ratio of the  [#permalink]

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05 Sep 2018, 02:04
Bunuel wrote:
Cylinder A has the same volume as cylinder B, what is the ratio of the radius of cylinder A to the radius of cylinder B?

(1) The height of A is twice that of B.
(2) The volume of cylinder A is 30π.

Question stem:- $$\frac{r_{A}}{r_{B}}=?$$

Given, $$r_{A}*h_{A}=r_{B}*h_{B}$$ Or, $$\frac{r_{A}}{r_{B}}=\frac{h_{B}}{h_{A}}$$

St1:- The height of A is twice that of B.
Or, $$h_{A}=2*h_{B}$$
So, $$\frac{r_{A}}{r_{B}}=\frac{h_{B}}{2*h_{B}}=\frac{1}{2}$$
Sufficient.

St2:- The volume of cylinder A is 30π.
Or, vol. of cylinder A=vol. of cylinder B=30π.
No relationship between radii and heights are given.
Insufficient.

Ans. (A)
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PKN

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Re: Cylinder A has the same volume as cylinder B, what is the ratio of the   [#permalink] 05 Sep 2018, 02:04
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