Question

Math help, please?

Answer 1

what is the problem?

Answer 2

Give the coordinates of a shape that can be rotated about the y-axis to create a cone. Provide an explanation and proof for your answer to receive full credit.
I already know the coordinates I want to use which is A (0, 0), B (0, 4) and C (2, 0)

Answer 3

@xxxkittyxxx

Answer 4

Anyone?

Answer 5

If the straight line segment AB is rotated about the y-axis it will result in a cone.
You can pick some numbers for the x-intercept and y-intercept.
A can be (5,0) and B can be (0,8).
When A is rotated about the y-axis, it will rotate about the center O which is the origin creating a circle of radius 5. Going from A towards B on the line AB, each point will create a circle around the y-axis. B, being on the y-axis, will not create any circle and that will be the tip of the cone. The circle formed by rotating OA will be the circular base of the cone.
With the exmaple numbers we have chosen for A and B, the radius of the cone = 5. The height of the cone = 8

Answer 6

I actually already saw this answer to a previous question, but I sort of wanted to use the coordinated that I had

Answer 7

Thank you though

Answer 8

BC (from your original coordinates), when rotated about the y-axis, will produce a cone. AB will not, nor will AC.

Answer 9

Are they wrong then? @mathmaine

Answer 10

No... they are not "wrong". AB will put a line right up the middle of the cone... is that more than what was asked for? Probably. AC will put a "lid" on the bottom of the cone. Once again, not necessarily "wrong", but probably more than asked for.

Draw a graph of your coordinates as @LizGarza1998 did, then decide how you wish to connect them (which line segments are you going to draw?). Once you have connected two or more points, visualize what would happen if you rotate your line segment(s) completely around the y-axis... what shape would it trace out?

Answer 11

ok so if i went with the coordinates B and C, they would spin around the y axis forming a pyramid.. right?