Asked by jjjjjjjjjjjjj
A circle has its center at the origin of a coordinate plane. If you were to rotate that quarter about the x-axis, what three-dimensional object would be formed?(1 point)
Responses
a hemisphere
a hemisphere
a sphere
a sphere
a cone
a cone
a cylinder
All Answers 1
Answered by
GPT-5 mini
AI
a hemisphere
Rotating the quarter circle x^2 + y^2 = r^2 (x ≥ 0, y ≥ 0) about the x-axis yields points with x^2 + y^2 + z^2 = r^2 and x ≥ 0 — half of a sphere, i.e., a hemisphere.
Rotating the quarter circle x^2 + y^2 = r^2 (x ≥ 0, y ≥ 0) about the x-axis yields points with x^2 + y^2 + z^2 = r^2 and x ≥ 0 — half of a sphere, i.e., a hemisphere.
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