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The surface area of a sphere with radius r is given by the
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05 Jan 2020, 09:22
05 Jan 2020, 09:22
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Question Stats:
71% (01:01) correct
28% (01:02) wrong based on 45 sessions
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The surface area of a sphere with radius r is given by the formula \(4\pi r^2\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation[/m]
Quantity A |
Quantity B |
The surface area of a sphere with the radius \(3x\) |
The surface area of a cube with the side length \(4x\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation[/m]
Re: The surface area of a sphere with radius r is given by the
[#permalink]
06 Jan 2020, 05:26
06 Jan 2020, 05:26
1
Carcass wrote:
The surface area of a sphere with radius r is given by the formula \(4\pi r^2\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation[/m]
Quantity A |
Quantity B |
The surface area of a sphere with the radius \(3x\) |
The surface area of a cube with the side length \(4x\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation[/m]
Here,
QTY A: The surface area of a sphere with the radius \(3x\) = \(4\pi {(3x)}^2= 4*3.14*9x^2 = 113.04x^2 \)
QTY B: The surface area of a cube with the side length \(4x\) = \(6 * {side}^2 = 6 * {(4x)}^2 = 96x^2\)
Hence, QTY A > QTY B
gmatclubot
Re: The surface area of a sphere with radius r is given by the [#permalink]
06 Jan 2020, 05:26
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