a 4 x 7 rectangle can be rotated about the long side to generate a cylinder.it also can be rotated about the short side to generate a cylinder. find the lateral and surface area of the two cylinder.

Answer 1

Lateral surface of a cylinder
A_l=2πr*h
where h is measured along the axis of the cylinder.

When the rectangle is rotated along it's length, then h=length, r=width.

When the rectangle is rotated along it's width, then h=width, r=lengh.

So you can calculate the lateral surface area of each cylinder accordingly.