Use the net to find the approximate surface area of the cylinder to the nearest square meter.

Question

A cylinder and its corresponding net diagram are shown. The circular bases have a radius of 7 meters. The cylinder height is 11 meters.
A. 377 m2
B. 484 m2
C. 528 m2
D. 792 m2

Answer 1

To find the surface area of the cylinder, we need to find 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, r = 7 meters, so the area of each base is:

π(7)^2 = 49π ≈ 153.94 m^2

The lateral surface area is the area of the rectangle that makes up the curved surface of the cylinder. The length of the rectangle is the circumference of the base, which is 2πr, and the width is the height of the cylinder, which is 11 meters. So the lateral surface area is:

2πr * h = 2π(7) * 11 = 154π ≈ 484.4 m^2

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

153.94 + 153.94 + 484.4 ≈ 792.28 m^2

Rounding to the nearest square meter, the approximate surface area of the cylinder is 792 m^2. Therefore, the answer is D. 792 m2.

Answer 2

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