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A right circular cylinder with height 5 centimeters has volu
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20 Aug 2020, 10:23
20 Aug 2020, 10:23
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A right circular cylinder with height 5 centimeters has volume \(18\pi\) cubic centimeters.
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.
Quantity A |
Quantity B |
The radius of a base of the cylinder |
\(\sqrt{2}\) centimeters |
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.
Re: A right circular cylinder with height 5 centimeters has volu
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20 Aug 2020, 13:14
20 Aug 2020, 13:14
We have \( V=\pi R^2 * h = \pi R^2 *5 \)
We also know that \(V=18\pi\).
So \(R^2 = 18/5\).
But 18/5 > 3 so we know R^2 > 3 > 2
We apply the square root function to see that \(R > \sqrt{3} > \sqrt{2^}\)
So A is the answer .
We also know that \(V=18\pi\).
So \(R^2 = 18/5\).
But 18/5 > 3 so we know R^2 > 3 > 2
We apply the square root function to see that \(R > \sqrt{3} > \sqrt{2^}\)
So A is the answer .
gmatclubot
Re: A right circular cylinder with height 5 centimeters has volu [#permalink]
20 Aug 2020, 13:14
