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A right circular cylinder with radius 2 inches has volume 15

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A right circular cylinder with radius 2 inches has volume 15 [#permalink]  27 Nov 2017, 10:22
Expert's post
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Question Stats:

90% (00:46) correct 9% (00:57) wrong based on 44 sessions

A right circular cylinder with radius 2 inches has volume 15 cubic inches.

 Quantity A Quantity B The height of the cylinder 2 inches

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.
[Reveal] Spoiler: OA

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Founder
Joined: 18 Apr 2015
Posts: 7417
Followers: 125

Kudos [?]: 1453 [0], given: 6624

Re: A right circular cylinder with radius 2 inches has volume 15 [#permalink]  27 Nov 2017, 10:27
Expert's post
Explanation

Attachment:

cylinder.jpg [ 10.04 KiB | Viewed 4390 times ]

Volume = 15

Volume = $$\pi r^2 h$$

$$15 = \pi 2^2 h$$

$$h= 1.19$$

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GRE Instructor
Joined: 10 Apr 2015
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Kudos [?]: 1992 [1] , given: 20

Re: A right circular cylinder with radius 2 inches has volume 15 [#permalink]  26 Apr 2019, 04:59
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Expert's post
Carcass wrote:

A right circular cylinder with radius 2 inches has volume 15 cubic inches.

 Quantity A Quantity B The height of the cylinder 2 inches

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.

Volume of cylinder = πr²h (where r = radius and h = height)

GIVEN: A right circular cylinder with radius 2 inches has volume 15 cubic inches.
Plug information into the formula: 15 = π(2²)h
Simplify: 15 = 4πh
Solve: h = 15/4π

π ≈ 3.14 ≈ 3

We get: h ≈ 15/4(3) ≈ 15/12

We get:
QUANTITY A: ≈ 15/12
QUANTITY B: 2

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Re: A right circular cylinder with radius 2 inches has volume 15   [#permalink] 26 Apr 2019, 04:59
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