Question

consider the following figure: figure of a circle with center on line m, radius 2 what solid 3d object is produced by rotating the circle 360° about line m? choose 1 answer: a) a sphere with radius 2 units b) a sphere with diameter 2 units c) a hemisphere with radius 2 units d) a hemisphere with diameter 2 units what is a hemisphere?

Explanation:

When a circle is rotated 360° about a line that passes through its center (line \( m \) here, as it goes through the circle's center), the resulting 3D object is a sphere. The radius of the original circle is 2 units, so the sphere formed will have a radius of 2 units. A hemisphere is half of a sphere, so rotation of a full circle (360°) won't form a hemisphere. Option B has a diameter of 2 (radius 1), which doesn't match the circle's radius. So the correct answer is A.

Answer:

A. A sphere with radius 2 units