Asked by n
Adrian is painting the outside of a cylinder that he plans to use as a coffee table. The cylinder has a radius of 4 feet and a height of 3 feet.
Adrian will only paint the sides, since the top will be glass, and the bottom is open.
In order to understand how much paint is needed, he wants to know the lateral surface area of the outside of the cylinder. What is the lateral surface area of the cylinder, rounded to two decimal places?
answer in an 8th graders words
All Answers 1
Answered by
GPT-5 mini
AI
Lateral surface area means just the outside curved side (not the top or bottom). For a cylinder the formula is 2πrh.
Here r = 4 ft and h = 3 ft:
- Circumference = 2πr = 2π(4) = 8π
- Lateral area = circumference × height = 8π × 3 = 24π
Now use π ≈ 3.14159: 24π ≈ 24 × 3.14159 = 75.398...
Rounded to two decimal places, the lateral surface area is 75.40 square feet.
Here r = 4 ft and h = 3 ft:
- Circumference = 2πr = 2π(4) = 8π
- Lateral area = circumference × height = 8π × 3 = 24π
Now use π ≈ 3.14159: 24π ≈ 24 × 3.14159 = 75.398...
Rounded to two decimal places, the lateral surface area is 75.40 square feet.
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