Surface Area of Cylinders
(1) Right Circular Cylinder

Curved surface area = the perimeter x the height of the cylinder, i.e.

The area of each of the flat surfaces, i.e. of the ends,

The total surface area
Example:
Find the height of the solid circular cylinder if the total surface area is 600 sq.cm and the radius is 5cm.
Solution:
Here cm
Total surface area
Or
Or
Or
cm
Example:
A cylindrical vessel without a lid has to be coated on both its sides. If the radius of its base is m and its height is 1.4m, calculate the cost of tin coating at the rate of $2.25 per 1000 sq.cm.
Solution:
Given that
Radius of the base of cylindrical vessel,
Height,
Area to be tin coated
sq.cm
Now, the cost of tin coating per 1000sq.cm = $2.25
Total cost of tin coating dollars
(2) Hollow Circular Cylinder

Curved surface area

Total surface area
(3) Elliptic Cylinder
A cylinder with a base which is an ellipse is called an elliptic cylinder. If and are the semimajor axis and semiminor axis and is the height, then

Volume

Curved surface area

Total surface area