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The net of a right circular cylinder is shown.

net of a cylinder where the radius of each circle is labeled 4 meters and the height of the rectangle is labeled 8 meters

What is the surface area of the cylinder? Use π = 3.14 and round to the nearest whole number.

251 m2
301 m2
502 m2
804 m2

User Nick Baluk
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2 Answers

1 vote

Answer:

The first person to answer was correct, the answer is 301 m squared.

Explanation:

I took the quiz so you don't have to! <3

User Sajad Mirzaei
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7.9k points
5 votes
The surface area of a right circular cylinder can be found by adding the area of the two circular bases and the lateral surface area.

The area of each circular base is πr^2, where r is the radius. In this case, the radius is 4 meters, so the area of each circular base is:

π(4)^2 = 16π

The lateral surface area is the area of the rectangle that forms the curved surface of the cylinder. The height of the rectangle is the same as the height of the cylinder, which is 8 meters, and the base of the rectangle is the circumference of the circle, which is 2πr. So, the lateral surface area is:

8(2πr) = 16πr

Substituting r = 4, we get:

16π(4) = 64π

Adding the areas of the two circular bases and the lateral surface area, we get:

16π + 16π + 64π = 96π

Using π = 3.14 and rounding to the nearest whole number, the surface area of the cylinder is:

96π ≈ 301 square meters
User Iaacp
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