The formula for the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
where r is the radius and h is the height.
We can plug in the given values:
Surface Area = 2π(5)² + 2π(5)(40 feet 4 inches)
First, we need to convert 40 feet 4 inches to just feet. There are 12 inches in a foot, so we can divide the 4 inches by 12 to get 0.33 feet. Then we can add this to the 40 feet to get:
Surface Area = 2π(5)² + 2π(5)(40.33)
Simplifying:
Surface Area = 2π(25) + 2π(201.65)
Surface Area = 157.08 + 1268.36
Surface Area = 1425.44 square feet
Therefore, the surface area of the smokestack is approximately 1425.44 square feet.
Captain Howard had his crew paint the smokestack on his ship which was called the Sea Snail. The smokestack is shaped like a cylinder and is 40 feet 4 inches tall. The radius of the smokestack's base is five feet. What is the surface area of the smokestack?
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