High School Mathematics 4.60 Total Surface Area of a Cylinder

Total Surface Area of a cylinder = Lateral surface area + Area of two circles (top and bottom circles)

Total surface area = 2*pi*r^{2} + 2*pi*r*h = 2 * pi * r * (r+h).

Example:
The ratio of the radius and height of a cylinder is 5:3. The radius is 25cm. Find its total surface area. Solution:
Given that r = 25cm.
Height (h) = 3/5 * 25 = 15cm. Total surface area = 2 * pi * r * (h+r).
= 2 * 22/7 * 25(25+15)
= 1100/7 * 40
= 6285.71 Sq. cm.

Directions: Solve the following problems and write the answer in two decimal places. Also write at least 5 examples of your own.