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# The circular bases of a right circular cylinder are inscribed in two o

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Math Expert
Joined: 02 Sep 2009
Posts: 60644
The circular bases of a right circular cylinder are inscribed in two o  [#permalink]

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26 Nov 2018, 23:28
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Difficulty:

45% (medium)

Question Stats:

64% (02:00) correct 36% (02:08) wrong based on 35 sessions

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The circular bases of a right circular cylinder are inscribed in two opposite faces of a cube. If the volume of the cube is 64, which of the following is closest to the volume of the cylinder?

A. 46
B. 50
C. 54
D. 58
E. 62

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Posts: 1223
Re: The circular bases of a right circular cylinder are inscribed in two o  [#permalink]

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27 Nov 2018, 09:03
1
Bunuel wrote:
The circular bases of a right circular cylinder are inscribed in two opposite faces of a cube. If the volume of the cube is 64, which of the following is closest to the volume of the cylinder?

A. 46
B. 50
C. 54
D. 58
E. 62

$$Cube^3$$ = 64 ---> 4*4*4

lenght of one of the sides of a cube is 4, hence raius of circular base of cylinder is 2

To find vulume of circular cylinder , mupltiply Area of the Base of cylinder by height of cylinder ( 12.56 *4 = ca 50 )

Area of Base of Cylinder = piR^2 = ---> 3.14 *4 = 12.56

High = 4

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Re: The circular bases of a right circular cylinder are inscribed in two o  [#permalink]

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27 Nov 2018, 08:17
Bunuel wrote:
The circular bases of a right circular cylinder are inscribed in two opposite faces of a cube. If the volume of the cube is 64, which of the following is closest to the volume of the cylinder?

A. 46
B. 50
C. 54
D. 58
E. 62

side of cube = 4
draw a figure as described we can see that the diameter would 4 , radius 2 , height 4
3.14 * 4*2^2= ~ 50 option B
Re: The circular bases of a right circular cylinder are inscribed in two o   [#permalink] 27 Nov 2018, 08:17
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