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22 Apr 2020, 00:37
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
97% (00:26) correct
3%
(00:43)
wrong
based on 736
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What is the volume of the right circular cylinder X ?
(1) The height of X is 20.
(2) The base of X has area 25π.
DS51531.02
(1) The height of X is 20.
(2) The base of X has area 25π.
DS51531.02
Updated on: 13 Nov 2021, 06:52
Originally posted by BrentGMATPrepNow on 01 May 2020, 09:31.
Last edited by BrentGMATPrepNow on 13 Nov 2021, 06:52, edited 1 time in total.
Last edited by BrentGMATPrepNow on 13 Nov 2021, 06:52, edited 1 time in total.
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GMATinsight
Target question: What is the volume of the right circular cylinder X ?
---------------------------------------------------------------------------------
Aside: A right circular cylinder is a cylinder whose bases are aligned directly above the other.
So, the cylinder on the left (below) is a right cylinder, and the one on the right is an oblique cylinder
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Key property: Volume of cylinder \(= \pi r^2 h\)
Statement 1: The height of X is 20
Since we still don't know the radius of the cylinder, statement 1 is NOT SUFFICIENT
Statement 2: The base of X has area 25π.
Area of a circle \(= \pi r^2\)
So statement 2 is telling us that: \( \pi r^2 = 25 \pi\)
Since we still don't know the height of the cylinder, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that \(h = 20\)
Statement 2 tells us that \( \pi r^2 = 25 \pi\)
So the volume of the cylinder \(= \pi r^2 h = (25 \pi)(20) = 500 \pi\)
Since we can answer the target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
General Discussion
Archit3110
Major Poster
22 Apr 2020, 00:42
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Volume of cylinder pi*r^2*h
#1 height -20
Radius not know Insufficient
#2
Area of base 25 pi
Pi*r^2=25pi
r=5
Height not know Insufficient
From 1&2
Area of cylinder
Pi*25*20
500pi
Option C
Posted from my mobile device
#1 height -20
Radius not know Insufficient
#2
Area of base 25 pi
Pi*r^2=25pi
r=5
Height not know Insufficient
From 1&2
Area of cylinder
Pi*25*20
500pi
Option C
GMATinsight
Posted from my mobile device
