Give the coordinates of a shape that can be rotated about the y-axis to create a cylinder. Provide an explanation and proof for your answer to receive full credit.

Question

anonymous · Answer

@gabbyalicorn can you help me with this?

gabbyalicorn · Answer

ill try my best

anonymous · Answer

ok thank you

anonymous · Answer

So i know that a cylinder in 2D makes a rectangle and the coordinates i chose are (4,0), (4,5), (0,0), and (0,5) if that helps

anonymous · Answer

@ganeshie8 can you help me?

anonymous · Answer

@mathmate can you help?

mathmate · Answer

Just in order to help you with the appropriate response, I need to know if you are familiar with Calculus. @8LS024

gabbyalicorn · Answer

sorry i was gone for a little

mathmate · Answer

@8LS024 
Without using calculus, a point rotated about the y-axis describes a circle which represents the base with radius equal to its x-coordinate.
So the two points (4,0), (4,5) both describe a circle or radius 4 at y=0 and y=5.
Hence you have a cylinder of radius 4 and height 5.
The extra points (0,0) and (0,5) are not required, because the instructions indicate that the rotation is about the y-axis.

anonymous · Answer

No this is geometry, no calculus is involved @mathmate

mathmate · Answer

Please read my answer.  No calculus was used.