Question

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.

Answer 1

I'm thinking maybe (1,1) (1,4) (6,1) and (6,4)

Answer 2

But I don't know how to prove it

Answer 3

just think about it. if you take a slice diameter through the entire cylinder, what do you get?

a cylinder is just a rectangle rotated about the y axis
so you're right. but you have to use the given information to try to prove it