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? Provide an explanation for your answer to receive full credit.

Question

06-04-2017
Mathematics

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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? Provide an explanation for your answer to receive full credit.

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irspow irspow · Answer 1 · 2017-04-06T01:59:41+02:00

irspow irspow

06-04-2017

The original shape is a square. If rotated about the y-axis it will fill out the volume and shape of a cylinder with a height of 4 units and a radius of 4 units.

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AlonsoDehner AlonsoDehner · Answer 2 · 2019-05-12T07:59:31+02:00

Answer:

A cylinder with height 4 units and radius 4 units

Step-by-step explanation:

Given that The coordinates A (0, 0), B (0, 4), C (4, 4), and D (4, 0) are graphed and connected together.

Since AB =BC=CD=DA we get all sides are equal

Also AB is y axis and AD is x axis, hence one angle is 90 hence all angles are 90 degrees.

Hence this is a square

When it is rotated about y axis, we gt a cylinder which has radius equal to side of the square and height also equal to the side of the square.