give the coordinates of a shape that can be rotated about the y-axis to create a cone. please provide an explanation and proof for your answer. (p.s. I know that the shape the coordinates should form will make a right triangle)

a few moments ago

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Question

give the coordinates of a shape that can be rotated about the y-axis to create a cone. please provide an explanation and proof for your answer.  (p.s. I know that the shape the coordinates should form will make a right triangle)

a few moments ago
 

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ranga · Answer

|dw:1397425735850:dw|

anonymous · Answer

so (3,6)and (0,0)

ranga · Answer

Yes, that is just one example.  ANY LINE SEGMENT  from (0,0) to (x,y) when rotated about the y-axis will result in a cone.

anonymous · Answer

THANK YOU SO MUCH XD

ranga · Answer

You are welcome.

anonymous · Answer

@ranga  Sorry I forgot to ask, but when the question says provide a proof do they also mean a theorem or postulate?

anonymous · Answer

oh lol nvrm mind I get it now thanks XD

ranga · Answer

Every point on the line (0,0) and (3,6) is at different distance from the y-axis and that distance will be the x-coordinate of the point on the line.  This x-coordinate will form the radius when the point is spun around the y-axis.  So each point on the line segment will trace out a circle of varying radius forming the cone.