Question
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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Answered by
Bot
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.
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.
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