Rectangle rect is rotated 360° about the y-axis. i have to find the surface area and volume indicate the type of solid that was formed and its key dimensions. state all formulas. show all substitutions and work. use appropriate units

I just pasted the picture here so that it would be convenient for reference. When the rectangle is revolved around the y-axis, it will for a three-dimensional solid generating a volume. If you can imagine, a shape of a short circular platform is formed. It takes a form of a short cylinder. Therefore, we can use the equation for the volume of cylinder.

V = π*r^2*h, where r is the radius and h is the height. Referring to the picture, the radius must be the vertical length of the rectangle which is equal to 5 units. The height of the cylinder, on the other hand, is the horizontal width of the rectangle equal to 3 units. Thus,

V = π*(5)^2*(3)
V = 75π = 235.62 cubic units