Answer:
- cone
- radius 8 units
- height 6 units
Explanation:
The attached image shows the figure of rotation generated by rotating a triangular shape about the x-axis.
Shape
When the given line is rotated about the x-axis, each point on the line traces a circle in the y-z plane. Those together will make a cone shape. The radius of the circle is the distance of the point from the x-axis.
Dimensions
The base of the cone will be the circle obtained by rotating the y-intercept about the x-axis. As above, the radius of that circular base is the y-value of the y-intercept: 8 units.
The height of the cone will be the x-value of the point where the radius is zero, at x=6.
The cone has a height of 6 units and a radius of 8 units.