SOLUTION: What is the surface area of this cylinder that has a radius of 6 inches and a height of 8 inches?

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Question 307436: What is the surface area of this cylinder that has a radius of 6 inches and a height of 8 inches?
Found 2 solutions by mananth, rapaljer:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Area of cylinder = pi r^2 h
radius = 6 height = 8
area = pi* 6^2*8
area = 904.77 square inches

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The total surface area consists of the lateral (side) area and two end pieces (circles).

Lateral area is actually the distance around the base (circumference) which is 2%2Api%2Ar times the height which is h.
Lateral area = 2%2Api%2Ar%2Ah
Lateral area = 2%2Api%2A6%2A8=96%2Api

Each end piece is a circle whose area is A=pi%2Ar%5E2=36%2Api

The grand total = 96%2Api+%2B+2%2A+36%2Api
Total Area = 96%2Api+%2B+72%2Api=168%2Api

Please see my own website for additional explanation on Geometric problems. Do a Google search for my name "dr robert j rapalje," and look for "Rapalje Homepage" near the top of the list. Then look for the link called "Topics from Geometry" near the bottom of the page. Several sections might be helpful to you, and it's all FREE!!!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus