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The coordinates A(0,0), B(0,4), C(4,4), and D(4,0) are graphed and connected together. What three-dimensional shape will be created when this shape is rotated about the y-axis? Write one word for the answer!

Respuesta :

Answer:

Cylinder

(with radius of 4 units and height of 4 units)

Step-by-step explanation:

First, determine the shape of the 2D figure.

Point B is above point A, and point C is above point D.

Point A and B, and points C and D are on the same horizontal line.

Points A and B both have an x-value of zero.

Points C and D both have an x-value of 4.

Therefore, the width of the shape is 4 units

Points A and D have an y-value of zero.

Points B and C have an y-values of 4.

Therefore, the height of the shape is 4 units.

Therefore, the shape of the 2d figure is a square with side length of 4 unit.  (See first attached image).

If the square is rotated above the y-axis, it creates a cylinder with a radius of 4 units and a height of 4 units. (See second attached image).

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