Question

a semi - circle with points a and b is shown below. when the semi - circle is rotated about the side ab, which of the following three - dimensional figures is created? image of a semi - circle with diameter ab options: cone, cylinder, cube, sphere

Explanation:

Step1: Recall Rotation of Shapes

A semi - circle, when rotated about its diameter (here AB is the diameter of the semi - circle), forms a three - dimensional shape.

Step2: Analyze Each Option

• A cone is formed by rotating a right - angled triangle about one of its legs.
• A cylinder is formed by rotating a rectangle about one of its sides.
• A cube is a three - dimensional shape with six square faces and is not formed by rotating a semi - circle.
• A sphere is formed when a semi - circle is rotated about its diameter (the line segment AB in this case). When we rotate the semi - circle around AB, every point on the semi - circle traces a circular path, and the collection of all these circular paths forms a sphere.

Answer:

sphere (The option corresponding to "sphere" among the given options. If we consider the options as: the last option with text "sphere")