Find the surface area of a cylinder with a height of 12 meters and a diameter of 14 meters. Use 3.14 for π and round to the nearest tenth.(1 point)

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

The radius of the cylinder is half of the diameter, so the radius is 14/2 = 7 meters.

The lateral surface area of the cylinder is given by the formula 2Ï€rh, where r is the radius and h is the height.
So the lateral surface area of the cylinder is 2(3.14)(7)(12) = 527.52 square meters.
The base of the cylinder is a circle with radius 7 meters, so the area of one base is given by the formula πr^2.
So the area of one base of the cylinder is (3.14)(7^2) = 153.86 square meters.
Since there are two bases, the total area of both bases is 2(153.86) = 307.72 square meters.
Therefore, the surface area of the cylinder is 527.52 + 307.72 = 835.24 square meters. Answer: \boxed{835.24}.

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