Find the surface area of a cylinder with a height of 12 m and a demeanor of 14 m use 3.14 for pi and round to the nearest tenth
To find the surface area of a cylinder, we need to calculate the areas of the two bases and the lateral surface area.
The base of the cylinder is a circle, so the area of each base will be equal to pi times the radius squared.
Given the diameter of 14 m, we can find the radius by dividing the diameter by 2: 14 m / 2 = 7 m.
The area of each base will be pi times the radius squared: 3.14 * (7 m)^2 = 3.14 * 49 m^2 = 153.86 m^2
The lateral surface area of the cylinder is the area of its curved surface. The lateral surface area is equal to the circumference of the base (which is also equal to the circumference of the top) multiplied by the height of the cylinder.
The circumference of the base (and the top) of the cylinder is equal to pi times the diameter, which is pi * 14 m = 43.96 m.
Therefore, the lateral surface area is 43.96 m * 12 m = 527.52 m^2.
To find the total surface area, we add the areas of the two bases and the lateral surface area: 153.86 m^2 + 153.86 m^2 + 527.52 m^2 = 835.24 m^2.
Rounding to the nearest tenth, the surface area of the cylinder is approximately 835.2 m^2.