Homework Help is Here – Start Your Trial Now!
Math
Geometry
Al 21. What type of three-dimensional object forms when a semicircle is rotated around the a-axis? cylinder cone full circle sphere

Al 21. What type of three-dimensional object forms when a semicircle is rotated around the a-axis? cylinder cone full circle sphere

Elementary Geometry For College Students, 7e
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
SectionP.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
Question

What type of three-dimensional object forms when a semicircle is rotated around the x-axis?

**Question 21:** What type of three-dimensional object forms when a semicircle is rotated around the x-axis? **Diagram Explanation:** The diagram presents a semicircle positioned on the Cartesian plane. The semicircle is drawn above the x-axis and its diameter lies along the x-axis, ranging from -5 to 5 on the x-axis. The center of the semicircle is at the origin (0,0), and it extends upwards to 5 on the y-axis. This semicircle is meant to be rotated around the x-axis. **Multiple Choice Options:** - Cylinder - Cone - Full circle - Sphere **Answer Explanation:** When a semicircle is rotated around the x-axis, it forms a three-dimensional object known as a sphere. This occurs because each point on the semicircle traces out a circular path, resulting in a symmetrical shape with the same radius as the original semicircle.
Transcribed Image Text:**Question 21:** What type of three-dimensional object forms when a semicircle is rotated around the x-axis? **Diagram Explanation:** The diagram presents a semicircle positioned on the Cartesian plane. The semicircle is drawn above the x-axis and its diameter lies along the x-axis, ranging from -5 to 5 on the x-axis. The center of the semicircle is at the origin (0,0), and it extends upwards to 5 on the y-axis. This semicircle is meant to be rotated around the x-axis. **Multiple Choice Options:** - Cylinder - Cone - Full circle - Sphere **Answer Explanation:** When a semicircle is rotated around the x-axis, it forms a three-dimensional object known as a sphere. This occurs because each point on the semicircle traces out a circular path, resulting in a symmetrical shape with the same radius as the original semicircle.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS