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the combined volumes of a cone and a cylinder, each with base radius R
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26 Apr 2022, 01:00
26 Apr 2022, 01:00
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Expert Reply
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Question Stats:
50% (00:56) correct
50% (01:04) wrong based on 8 sessions
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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
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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
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