SSJ2Gohan
Answered

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If a rectangle is rotated about the y-axis as shown below, what three-dimensional figure would be formed?

An image of a rectangle centered at the origin is shown with an arrow showing motion about the y axis.

Rectangular prism
Cone
Cylinder
Square pyramid

Sagot :

loumast

Answer:

Cylinder.  The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.  

Step-by-step explanation:

This is assuming the rectangle has its sides parallel with the x and y axes.  

Let's try to eliminate them one by one.  A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight.  This can be used for the pyramid as well.  Let me know if this doesn't make sense though.

Now for me I would imagine that rectangle being a sheet of paper, or metal.  if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material?  It would be a circle.  So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder.  Again, let me know if this method did not make sense.  

buenosdavid

Answer:

cylinder

Step-by-step explanation:

took the test

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