GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Points P and Q are on the surface of a sphere that has a volume
[#permalink]
13 May 2021, 09:58
13 May 2021, 09:58
Expert Reply
00:00
Question Stats:
57% (01:58) correct
42% (02:10) wrong based on 14 sessions
Hide Show timer Statistics
Points ๐ and ๐ are on the surface of a sphere that has a volume of \(972๐\) cubic meters. Which of the following are possible lengths, in meters, of line segment \(\overline {PQ}\)?
(The volume of a sphere with radius ๐ is \(๐ = \frac{4}{3} \pi r^3\))
Indicate all such values.
A. 4
B. 12
C. 16
D. 17
E. 18
F. 19
G. 20
(The volume of a sphere with radius ๐ is \(๐ = \frac{4}{3} \pi r^3\))
Indicate all such values.
A. 4
B. 12
C. 16
D. 17
E. 18
F. 19
G. 20
ShowHide Answer
Official Answer
A,B,C,D,E
Points P and Q are on the surface of a sphere that has a volume
[#permalink]
13 May 2021, 19:54
13 May 2021, 19:54
We are given the volume of the sphere.
\(๐ = \frac{4}{3} \pi r^3\) = \(972๐\)
\(r = 9\)
Now the maximum distance between any two points on the surface of the sphere will be the diameter. That is \(18\).
Hence all the values that are less than 18 can be the answer.
Answer \(A B C D E\)
\(๐ = \frac{4}{3} \pi r^3\) = \(972๐\)
\(r = 9\)
Now the maximum distance between any two points on the surface of the sphere will be the diameter. That is \(18\).
Hence all the values that are less than 18 can be the answer.
Answer \(A B C D E\)
gmatclubot
Points P and Q are on the surface of a sphere that has a volume [#permalink]
13 May 2021, 19:54
Moderators:
