The coordinates a(0, 0), b(0, 5) and c(3, 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.

The 3-dimensional shape created will be a cone

Step-by-step explanation:

step 1

Plot the points

we have

A(0, 0), B(0, 5) and C(3, 0)

The figure is a right triangle

see the attached figure

so

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

where

AC is the radius of the base of cone

The radius is equal to r=AC=3 units

AB is the height of the cone

The height is h=AB=5 units

BC is the slant height of the cone

Applying Pythagoras Theorem

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high