Question

the figure shown is the graph of a rotation 360° about the y - axis to make a three - dimensional figure. what is the name of the three - dimensional figure? a. cone b. cylinder c. rectangular pyramid d. triangular prism e. triangular pyramid

Explanation:

When a right - triangle is rotated about one of its legs (in this case, the y - axis), the resulting three - dimensional figure is a cone. The base of a cone is a circle. But if we consider the options given, when a right - triangle is rotated about the y - axis, the base of the three - dimensional figure (cone) is formed by the rotation of the other leg (the one along the x - axis). A cone has a circular base. However, if we consider the nature of rotation of a right - triangle about an axis (a line), a cone is formed. Among the given options, a cone (Option A) is the three - dimensional figure formed by rotating a right - triangle about one of its sides (the y - axis in this case).

Answer:

A. cone