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.
the combined volumes of a cone and a cylinder, each with base radius R
[#permalink]
26 Apr 2022, 01:00
26 Apr 2022, 01:00
1
Expert Reply
00:00
Question Stats:
50% (00:56) correct
50% (01:04) wrong based on 8 sessions
Hide Show timer Statistics
Attachment:
GRE prep club geomtery.jpg [ 72.52 KiB | Viewed 1226 times ]
Quantity A |
Quantity B |
the combined volumes of a cone and a cylinder, each with base radius R and height R |
the volume of a sphere with radius R |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: the combined volumes of a cone and a cylinder, each with base radius R
[#permalink]
26 Apr 2022, 10:42
26 Apr 2022, 10:42
1
Volume of cone = 1/3 pi * r^2 * h ----> 1/3 pi r^3, since height = r
Volume of cylinder = pi * r^2 * h ---------> pi * r^3, since height = r
Adding volume of cone and cylinder = 1/3 pi * r^3 + pi * r^3 = 4/3 pi * r^3
Volume of sphere = 4/3 pi * r^3
Both options are equal, hence correct option is C
Volume of cylinder = pi * r^2 * h ---------> pi * r^3, since height = r
Adding volume of cone and cylinder = 1/3 pi * r^3 + pi * r^3 = 4/3 pi * r^3
Volume of sphere = 4/3 pi * r^3
Both options are equal, hence correct option is C
gmatclubot
Re: the combined volumes of a cone and a cylinder, each with base radius R [#permalink]
26 Apr 2022, 10:42
Moderators:
