Question

The coordinates A(0, 0), B(0, 5) and C(3, 0) are graphed and connected together. What 3-dimensional shape will be created when this shape is rotated about the y-axis? Provide an explanation and proof for your answer to receive full credit.

Answer 1

`The coordinates A(0, 0), B(0, 5) and C(3, 0) are graphed and connected together` what 2D shape is formed?

Answer 2

I don't know.

Answer 3

@jim_thompson5910

Answer 4

why not plot them and find out? go ahead and give it a shot

Answer 5

@jim_thompson5910 A triangle?

Answer 6

yes because there are only 3 points that are plotted and connected so there are 3 sides of the shape and there is only one shape with 3 sides

Answer 7

What about when it's rotated?

Answer 8

cam you post a pic of it when it is plotted

Answer 9

I didn't have any kind of graph paper, I just used my imagination.

Answer 10

...

Answer 11

it would still be a triangle

Answer 12

Yes you'll have a triangle. If you rotated that triangle around the y axis, you'll get a 3D cone. It might be hard to imagine, so grab a piece of paper, cut out a triangle, then spin the triangle around its axis.