Find the surface area of a cylinder with a diameter of 12 inches and a height of 10 inches use the approximation 3.14 for pi
To find the surface area of a cylinder, we need to calculate the areas of the two circular bases and the curved surface.
The diameter of the cylinder is 12 inches, so the radius (r) is 12/2 = 6 inches.
The formula for the area of a circle is A = πr^2.
Using the approximation of π = 3.14, the area of each circular base is:
A_base = 3.14 * (6 inches)^2 = 3.14 * 36 square inches = 113.04 square inches.
The formula for the curved surface area of a cylinder is A_curved surface = 2πrh.
Using the approximation of π = 3.14, the curved surface area is:
A_curved surface = 2 * 3.14 * 6 inches * 10 inches = 376.8 square inches.
Finally, the total surface area of the cylinder is the sum of the areas of the two circular bases and the curved surface:
Total surface area = 2 * A_base + A_curved surface
Total surface area = 2 * 113.04 square inches + 376.8 square inches
Total surface area = 226.08 square inches + 376.8 square inches
Total surface area = 602.88 square inches.
Therefore, the surface area of the cylinder is approximately 602.88 square inches.