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(08.05 HC)
The coordinates A (0,0), B (0,6), and C (3, 0) are graphed and connected together. What three-dimensional shape will be created
when this shape is rotated about the y-axis? Provide an explanation for your answer to receive full credit. (10 points)

Respuesta :

Answer:

A cone

Step-by-step explanation:

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

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