Question
A circle has its center at the origin of a coordinate plane. If you were to isolate one-quarter of the circle in Quadrant III and rotate that quarter about the x-axis, what three-dimensional object would be formed?(1 point)
Responses
a sphere
a sphere
a cylinder
a cylinder
a hemisphere
a hemisphere
a cone
Responses
a sphere
a sphere
a cylinder
a cylinder
a hemisphere
a hemisphere
a cone
Answers
GPT-4o mini
When you isolate one-quarter of a circle in Quadrant III and rotate it about the x-axis, the resulting three-dimensional object is a **hemisphere**.
A quarter circle in Quadrant III corresponds to points where both x and y are negative, and rotating it around the x-axis creates a half-sphere, or hemisphere, above and below the x-axis.
Therefore, the correct response is:
**a hemisphere**
A quarter circle in Quadrant III corresponds to points where both x and y are negative, and rotating it around the x-axis creates a half-sphere, or hemisphere, above and below the x-axis.
Therefore, the correct response is:
**a hemisphere**