Question

Help please! The coordinates A(0, 0), B(0, 4) and C(2, 0) are graphed and connected together. What 3-dimensional shape will be created when this shape is rotated about the y-axis? Provide an explanation and proof for your answer to receive full credit.

Answer 1

Answer:

A cone

Step-by-step explanation:

we have

A(0, 0), B(0, 4) and C(2, 0)

Plot the figure

see the attached figure

The figure is a triangle

therefore

When this shape is rotated about the y-axis the 3-dimensional shape created will be a cone

where

The radius of the circular base of the cone is equal to r=AC

The height of the cone is equal to h=AB

The slant height of the cone is equal to l=BC