If the rectangle shown were rotated around the y axis, which solid would result from the revoloution? Answers A - D A A cone with a radius of 2 and a height of 5. B A cylinder with a radius of 5 and a height of 2. C A cylinder with a radius of 2 and a height of 5. A cylinder with a radius of 4 and a height of 5.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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THIS SHOULD SAY X AXIS INSTEAD OF Y But please help me

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### Question: 
If the rectangle shown were rotated around the y-axis, which solid would result from the revolution?

### Answers A - D:

A. A cone with a radius of 2 and a height of 5.

B. A cylinder with a radius of 5 and a height of 2.

C. A cylinder with a radius of 2 and a height of 5.

D. A cylinder with a radius of 4 and a height of 5.

### Diagram Description:
The diagram displayed next to the question is a graphical representation that shows a rectangle plotted on a coordinate grid. The rectangle has one corner at the origin (0,0) and extends to the right along the x-axis to 2 and extends vertically along the y-axis to 5. This arrangement suggests that the rectangle's width is 2 units, and its height is 5 units. The depiction indicates that this particular rectangle, when rotated about the y-axis, would generate a geometric solid based on the mentioned dimensions.

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In this educational context, the user is required to determine the 3D solid formed when the given 2D rectangle is rotated around the y-axis. Each answer choice describes a potential 3D shape specifying its radius and height, helping to test the user's knowledge of solid geometry and rotational volumes.
Transcribed Image Text:--- ### Question: If the rectangle shown were rotated around the y-axis, which solid would result from the revolution? ### Answers A - D: A. A cone with a radius of 2 and a height of 5. B. A cylinder with a radius of 5 and a height of 2. C. A cylinder with a radius of 2 and a height of 5. D. A cylinder with a radius of 4 and a height of 5. ### Diagram Description: The diagram displayed next to the question is a graphical representation that shows a rectangle plotted on a coordinate grid. The rectangle has one corner at the origin (0,0) and extends to the right along the x-axis to 2 and extends vertically along the y-axis to 5. This arrangement suggests that the rectangle's width is 2 units, and its height is 5 units. The depiction indicates that this particular rectangle, when rotated about the y-axis, would generate a geometric solid based on the mentioned dimensions. --- In this educational context, the user is required to determine the 3D solid formed when the given 2D rectangle is rotated around the y-axis. Each answer choice describes a potential 3D shape specifying its radius and height, helping to test the user's knowledge of solid geometry and rotational volumes.
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