Question

in the diagram to the right, a quarter of a circle centered at the origin is graphed. what three - dimensional figure is generated when the quarter circle is continuously rotated about the y - axis? hemisphere cylinder sphere cone clear my selection

Explanation:

A quarter - circle centered at the origin, when rotated about the y - axis, forms a three - dimensional figure. A full circle rotated about an axis (like the y - axis for a circle centered at the origin) forms a sphere. A quarter - circle rotated about the y - axis will form a hemisphere. A cylinder is formed by rotating a rectangle, a cone is formed by rotating a right - triangle, and a full sphere would be formed by rotating a semicircle (not a quarter - circle) about its diameter (or an appropriate axis).

Answer:

A. Hemisphere