The vertices of a triangle are at (0,0), (6,6), and (9,3) . what is the volume, in cubic units, of the figure created by rotating the triangle about y=x?

volume of the figure after rotation=56.52 cubic units.

Step-by-step explanation:

After rotating the figure around the line y=x, we will see that the coordinates (x,y) change to the coordinates (y,x).

Hence the coordinates of the triangle (0,0),(6,6) and (9,3) changes to (0,0),(6,6) and (3,9).

we will get a cone on rotating the triangle across y=x.

The radius of cone(r)=3 units.

height of cone(h)=6 units.

volume of the cone=  .

Hence,  volume of cone= 56.52 cubic units.

b

step-by-step explanation:

b

it is x=-4

step-by-step explanation: