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

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Math Expert
Joined: 02 Sep 2009
Posts: 52231
Which of the following solids has the largest volume? (Figures are not  [#permalink]

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02 Nov 2017, 22:30
00:00

Difficulty:

45% (medium)

Question Stats:

52% (02:22) correct 48% (02:17) wrong based on 37 sessions

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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

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

III. A cube with edge of 9 millimeters.

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

Attachment:

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

Attachment:

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

Attachment:

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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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

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

III. A cube with edge of 9 millimeters.

(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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Luckisnoexcuse

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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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

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

III. A cube with edge of 9 millimeters.

(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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