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A cone has a radius r = 5 cm and height h = 10 cm.

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Carcass
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A cone has a radius r = 5 cm and height h = 10 cm. [#permalink] New post   29 Aug 2022, 03:19
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A cone has a radius r = 5 cm and height h = 10 cm.


Quantity A
Quantity B
the volume of the cone
300 cm^3



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

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B
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Re: A cone has a radius r = 5 cm and height h = 10 cm. [#permalink] New post   06 Sep 2022, 12:33
Carcass wrote:
A cone has a radius r = 5 cm and height h = 10 cm.


Quantity A
Quantity B
the volume of the cone
300 cm^3



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



Col. A: \(\frac{1}{3}π(r^2)h\)
Col. B: 300

Multiply both sides by 3:
Col. A: \(π(r^2)h\)
Col. B: 900

Plug r = 5 and h = 10:
Col. A: \(π(5^2)10 = 250π\)
Col. B: 900

Divide both sides by 250:
Col. A: \(π\)
Col. B: 3.6

Col. A < Col. B
Hence, option B
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gmatclubot
Re: A cone has a radius r = 5 cm and height h = 10 cm. [#permalink]
06 Sep 2022, 12:33
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