Question

Find the surface area of a cylinder with a height of 12 meters and a diameter of 14 meters use 3.14 for pi and round to the nearest tenth

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a cylinder, you need to calculate the sum of the areas of the two bases and the lateral surface area.

First, we will find the area of the bases. The formula to calculate the area of a circle is A = πr^2, where r is the radius.

Given that the diameter (d) is 14 meters, the radius (r) is half of the diameter, so r = 14/2 = 7 meters.

The area of one base is A1 = π(7)^2 = 49π square meters.

Since there are two bases, the total area of the bases is 2A1 = 98π square meters.

Next, we will calculate the lateral surface area of the cylinder. The formula to calculate the lateral surface area of a cylinder is A2 = 2πrh, where r is the radius and h is the height.

The lateral surface area of the cylinder is A2 = 2π(7)(12) = 168π square meters.

Finally, we add the areas of the bases and the lateral surface area to find the total surface area:

Total surface area = 98π + 168π = 266π square meters.

Using 3.14 for π, the surface area of the cylinder is approximately:
266π ≈ 266(3.14) = 835.24 square meters.

Rounded to the nearest tenth, the surface area of the cylinder is approximately 835.2 square meters.