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30 Mar 2021, 01:30
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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:
95% (00:43) correct
5%
(00:33)
wrong
based on 64
sessions
History
Date
Time
Result
Not Attempted Yet
What is the volume of cone C?
(1) The height of C is 2.
(2) The distance from the apex of C to each point on the circumference of the base of C is 4.
Attachment:
1.png [ 3.42 KiB | Viewed 1884 times ]
30 Mar 2021, 02:40
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Volume of the cone is Pi*r^2*h/3
Statement :1
The height of C is 2.
r is not known so not sufficient
Statement: 2 The distance from the apex of C to each point on the circumference of the base of C is 4.
I.e slant height is known 4= Sqrt(r^2+h^2)
r and h values are not know
Combine 1 and 2
Both r and h can be calculated
R will always be positive, so sufficient
C is the answer
Statement :1
The height of C is 2.
r is not known so not sufficient
Statement: 2 The distance from the apex of C to each point on the circumference of the base of C is 4.
I.e slant height is known 4= Sqrt(r^2+h^2)
r and h values are not know
Combine 1 and 2
Both r and h can be calculated
R will always be positive, so sufficient
C is the answer
30 Mar 2021, 03:10
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Bunuel
Volume of Cone \(= (\frac{1}{3})πr^2h\)
ALso, Slant height, \(l = \sqrt{r^2+h^2}\)
Note: i.e. we need height/slant height and radius of cone to find the volume of cone
Question: What is the volume of cone C?
Statement 1: The height of C is 2
Radius is still missing hence
NOT SUFFICIENT
STatement 2: Slant height, \(l = 4\)
Radius is still missing hence
NOT SUFFICIENT
Combining the statements
\(h = 2\) and \(l = 4\)
i.e \(r = \sqrt{l^2 - h^2} = \sqrt{4^2 - 2^2} = 2√3\)
SUFFICIENT
ANswer: Option C
