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Volume of a cylinder with a height of 10

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Carcass
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Volume of a cylinder with a height of 10 [#permalink] New post   21 Sep 2018, 08:45
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Quantity A
Quantity B
Volume of a cylinder with
a height of 10
Volume of a cone with a
height of 10


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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D
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pranab223
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Re: Volume of a cylinder with a height of 10 [#permalink] New post   22 Sep 2018, 02:50
2
Carcass wrote:
Quantity A
Quantity B
Volume of a cylinder with
a height of 10
Volume of a cone with a
height of 10


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Volume of a cylinder = \(\pi * radius^2 * height\)

Volume of a cone = \(\frac{{\pi * radius^2 * height}}{3}\)

In both cases we donot know the radius, enough information is not given
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Re: Volume of a cylinder with a height of 10 [#permalink] New post   22 Sep 2018, 11:47
We don´t know the area of the base. Therefore, we cannot calculate the volume of the solids and the answer is D.
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Re: Volume of a cylinder with a height of 10 [#permalink] New post   18 Jan 2019, 08:59
Not enough information.
Hence D
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Re: Volume of a cylinder with a height of 10 [#permalink] New post   28 Apr 2019, 04:25
Hello all,

For this question,

We have volume of cylinder = pi* r square* 10
Volume of cone= ( pi* r square *10 )/3

r cannot be zero and is always >0, then if we assume r value as 0.5 or 1, in both the cases volume of cylinder would be greater. Then I would put quantity A is greater. Can't I follow this approach? If I don't consider this assumption, then option D would be the right answer.

I took these r value assumptions because we generally test the quantitative comparison questions assuming some values for 'x' or any other variable.
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gmatclubot
Re: Volume of a cylinder with a height of 10 [#permalink]
28 Apr 2019, 04:25
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