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.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
THIS SHOULD SAY X AXIS INSTEAD OF Y But please help me
![---
### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f655a5e-3946-44a0-87d7-d06571787362%2Fc217f7f9-ad13-42d1-a107-943b86c2a760%2F9iq7t8g_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)