Question

which figure shows how a shape can be rotated about an axis to form the given object? axis

Explanation:

Step1: Analyze the properties of the frustum

A frustum of a cone is formed by rotating a trapezoid (with one of its non - parallel sides perpendicular to the parallel sides) about an axis. When a trapezoid (where the two parallel sides are horizontal and one of the non - parallel sides is vertical) is rotated about the vertical axis (the axis of rotation), it forms a frustum.

Step2: Check the given figure

The given figure (the left - hand side figure in the problem) is a trapezoid (a quadrilateral with one pair of parallel sides) adjacent to the axis. When this trapezoid is rotated about the axis (a vertical line in this case), the parallel sides of the trapezoid will form two circular bases (one larger and one smaller) and the non - parallel side (which is not adjacent to the axis) will form the lateral surface of the frustum.

Answer:

The left - hand side figure (the trapezoid adjacent to the axis) shows how a shape can be rotated about an axis to form the frustum (the given object).