Events & Promotions
|
|
GMAT 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.
Jun 1111:00 AM EDT
-01:00 PM EDT
TTP GMAT OnDemand gives serious students 400+ hours of expert video instruction, the full TTP course, AI support, weekly office hours, and a 715+ score guarantee—all built for elite GMAT score improvement.
Jun 1006:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..- Jun 10
10:00 AM PDT
-11:00 AM PDT
Scoring 715 on the GMAT Focus Edition requires more than just learning formulas, memorizing concepts, or solving hundreds of questions. In this episode, Nishant shares how he improved his GMAT preparation by focusing on application of concepts, and more. 
Jun 2207:30 PM EDT
-09:30 PM EDT
Master the GMAT with expert live instruction, a personalized study plan, and real-time support. Includes 40 hours of online classes plus 6 months of access to the TTP GMAT OnDemand video course. Class date: Mon/Wed June 22, 2026 →August 26, 2026
24 Jun 2021, 09:00
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
65% (01:35) correct
35%
(01:34)
wrong
based on 20
sessions
History
Date
Time
Result
Not Attempted Yet
Find the number of spherical balls, each of diameters 1 mm that can be made from a solid sphere of radius 4 cm.
(A) 512
(B) 5120
(C) 25600
(D) 51200
(E) 512000
(A) 512
(B) 5120
(C) 25600
(D) 51200
(E) 512000
24 Jun 2021, 09:20
Kudos
Bookmarks
Explanation:
No. Of spherical balls = 40x40x40/0.5x0.5x0.5
= 64000/0.125
= 51200
IMO-E
Posted from my mobile device
No. Of spherical balls = 40x40x40/0.5x0.5x0.5
= 64000/0.125
= 51200
IMO-E
Posted from my mobile device
24 Jun 2021, 09:22
Kudos
Bookmarks
Bunuel
number of smaller balls = \((\frac{R}{r})^3\)
= \((\frac{4}{1/2})^3\)
= \((2^2*2)^3\)
= \(2^9\)
= 512
The units are different so it has to be equated. Bigger sphere volume is \(10^3 mm^3\) times bigger than smaller sphere. Hence
number = 512 * 1000 = 512000
Answer E.
