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# What is the volume of a given cylinder? (1) The surface area of the

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
What is the volume of a given cylinder? (1) The surface area of the  [#permalink]

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29 Aug 2018, 01:35
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Difficulty:

15% (low)

Question Stats:

96% (00:50) correct 4% (01:45) wrong based on 24 sessions

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What is the volume of a given cylinder?

(1) The surface area of the cylinder is 20π.
(2) The height of the cylinder is 5.

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Status: Learning stage
Joined: 01 Oct 2017
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WE: Supply Chain Management (Energy and Utilities)
Re: What is the volume of a given cylinder? (1) The surface area of the  [#permalink]

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29 Aug 2018, 04:16
Bunuel wrote:
What is the volume of a given cylinder?

(1) The surface area of the cylinder is 20π.
(2) The height of the cylinder is 5.

Question stem:- What is the volume of a given cylinder?

Volume of cylinder=$$\pi*r^h$$
We require info on r and h.

St1:- The surface area of the cylinder is 20π.
or, $$2*\pi*r(h+r)=20π$$--------(a)
one equation, 2 variables.
Insufficient to determine r and h.

St2:- The height of the cylinder is 5
h=5.---------(b)
The value of 'r' is unknown.
Insufficient.

Combined, we can determine 'r' by substituting h=5 .Subsequently we can determine volume.

Sufficient.

Ans. (C)
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PKN

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Re: What is the volume of a given cylinder? (1) The surface area of the   [#permalink] 29 Aug 2018, 04:16
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