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Which of the following solids has the largest volume? (Figures are not

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Which of the following solids has the largest volume? (Figures are not  [#permalink]

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New post 02 Nov 2017, 22:30
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Which of the following solids has the largest volume? (Figures are not drawn to scale.)

I. A cylinder of radius 5 millimeters and height 11 millimeters
Image

II. A sphere of radius 6 millimeters (the volume of a sphere of radius r is 4/3*πr^3)
Image

III. A cube with edge of 9 millimeters.
Image


(A) I
(B) II
(C) III
(D) I and II
(E) II and III

Attachment:
2017-11-03_1027.png
2017-11-03_1027.png [ 5.93 KiB | Viewed 1748 times ]

Attachment:
2017-11-03_1027_001.png
2017-11-03_1027_001.png [ 8.43 KiB | Viewed 1742 times ]

Attachment:
2017-11-03_1027_002.png
2017-11-03_1027_002.png [ 4.76 KiB | Viewed 1745 times ]

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Which of the following solids has the largest volume? (Figures are not  [#permalink]

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New post Updated on: 03 Nov 2017, 00:29
Bunuel wrote:
Which of the following solids has the largest volume? (Figures are not drawn to scale.)

I. A cylinder of radius 5 millimeters and height 11 millimeters
Image

II. A sphere of radius 6 millimeters (the volume of a sphere of radius r is 4/3*πr^3)
Image

III. A cube with edge of 9 millimeters.
Image


(A) I
(B) II
(C) III
(D) I and II
(E) II and III

Attachment:
2017-11-03_1027.png

Attachment:
2017-11-03_1027_001.png

Attachment:
2017-11-03_1027_002.png


V of Cylinder = pie * r^2 * h = 3.14 * 25 * 11 = ~825
V of Sphere = 4/3 * pie * r^3 = 4/3 * 3.14 * 216 = ~864
V of Cube = s^3 = 9^3 = 729

B
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Originally posted by Luckisnoexcuse on 02 Nov 2017, 22:43.
Last edited by Luckisnoexcuse on 03 Nov 2017, 00:29, edited 1 time in total.
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Re: Which of the following solids has the largest volume? (Figures are not  [#permalink]

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New post 03 Nov 2017, 00:26
Bunuel wrote:
Which of the following solids has the largest volume? (Figures are not drawn to scale.)

I. A cylinder of radius 5 millimeters and height 11 millimeters
Image

II. A sphere of radius 6 millimeters (the volume of a sphere of radius r is 4/3*πr^3)
Image

III. A cube with edge of 9 millimeters.
Image


(A) I
(B) II
(C) III
(D) I and II
(E) II and III

Attachment:
2017-11-03_1027.png

Attachment:
2017-11-03_1027_001.png

Attachment:
2017-11-03_1027_002.png


cylinder : 3.14 * 25 *11= 864 approximately
sphere: 4/3 * 3.14 * 6^3 = 904
cube : 9^3 = 729

IMO B
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Re: Which of the following solids has the largest volume? (Figures are not &nbs [#permalink] 03 Nov 2017, 00:26
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