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# The largest possible cube is enclosed in a cylinder whose height is gr

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Math Expert
Joined: 02 Sep 2009
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The largest possible cube is enclosed in a cylinder whose height is gr  [#permalink]

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12 Sep 2018, 00:22
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Difficulty:

45% (medium)

Question Stats:

59% (01:42) correct 41% (01:09) wrong based on 24 sessions

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The largest possible cube is enclosed in a cylinder whose height is greater than its diameter. What is the volume of the cube?

(1) The base of the cylinder has area 25π
(2) The height of the cylinder is 10.

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Joined: 29 Aug 2018
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Re: The largest possible cube is enclosed in a cylinder whose height is gr  [#permalink]

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12 Sep 2018, 19:41
Only base radius is required to calculate the maximum volume of the cube.
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Re: The largest possible cube is enclosed in a cylinder whose height is gr  [#permalink]

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12 Sep 2018, 19:48
Bunuel wrote:
The largest possible cube is enclosed in a cylinder whose height is greater than its diameter. What is the volume of the cube?

(1) The base of the cylinder has area 25π
(2) The height of the cylinder is 10.

Hi Bunuel,

Much Appreciated. !!!
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The largest possible cube is enclosed in a cylinder whose height is gr  [#permalink]

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12 Sep 2018, 21:43
Bunuel wrote:
The largest possible cube is enclosed in a cylinder whose height is greater than its diameter. What is the volume of the cube?

(1) The base of the cylinder has area 25π
(2) The height of the cylinder is 10.

Diameter d> Height h
The largest possible cube shall have each area diagonal = diameter of the cylinder.
S1 - $$\pi r^2$$=25$$\pi$$
r=5. We can find each edge of cube with the help of diagonal.
Sufficient

S2 - h=10; We need to know the radius.
Insufficient.
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The largest possible cube is enclosed in a cylinder whose height is gr   [#permalink] 12 Sep 2018, 21:43
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