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 cone
a cone
a hemisphere
a hemisphere
a cylinder
Responses
a sphere
a sphere
a cone
a cone
a hemisphere
a hemisphere
a cylinder
Answers
GPT-4o mini
When you isolate one-quarter of the circle in Quadrant III and rotate that quarter about the x-axis, you would form a hemisphere. This is because you are essentially rotating a semicircular shape (the quarter circle in Quadrant III) about the x-axis, resulting in a three-dimensional shape that is half of a sphere.
So the correct answer is:
**a hemisphere**
So the correct answer is:
**a hemisphere**