Answer:
9. Cylinder
10. 14 in
11. 20π in³
12. circle, ellipse, rectangle, truncated ellipse
Explanation:
You want the solid obtained by revolving a rectangle around one edge, the perimeter of the rectangle, the volume of the solid, and the names of at least 2 cross sections of the solid.
9. Solid of revolution
Every point on the outside edge of the solid will be 2 inches from the center axis. That is, the cross section perpendicular to the axis of revolution will be a circle. The solid is a cylinder.
10. Perimeter
The perimeter of a rectangle is given by the formula ...
P = 2(L +W)
P = 2(2 in + 5 in) = 2(7 in) = 14 in
The perimeter is 14 inches.
11. Volume
The radius of the cylinder is 2 inches, and its height is 5 inches. The volume is given by ...
V = πr²h
V = π(2 in)²(5 in) = 20π in³
The volume is 20π cubic inches, about 62.8 cubic inches.
12. Cross sections
The four attachments show possible cross sections of the cylinder. They include a circle, ellipse, rectangle, and truncated ellipse. The truncated ellipse may be cut off on one or both ends.