Question

Integration Problem -Last one
Volume by cross sections
A circular cylinder of radius r and height h whose curved surface is at an angle of pi/4 to the base (picture attached)

Answer 1

I guess I am using
\[\pi r^2\]
not sure what r is?

Answer 2

r and h are kept generic in this case

Answer 3

Maybe I need to use the volume of a cylinder
B times height
B is a circle
\[\pi r^2 h\]

Answer 4

the area of a quadralteral is the determinant of its vectors

Answer 5

but I am not sure I can use vectors. ie professor did not cover vectors at all.