Find the surface area of a cylinder with a diameter of 12 inches and height of 10 inches. Use the approximation of 3.14 for pi. ( 1 point)
The radius of the cylinder can be found by dividing the diameter by 2:
radius = 12 inches / 2 = 6 inches
The lateral surface area of a cylinder can be found using the formula:
Lateral surface area = 2 * pi * radius * height
Lateral surface area = 2 * 3.14 * 6 inches * 10 inches
= 376.8 inches
The surface area of the two bases of the cylinder can be found using the formula:
Base surface area = pi * radius^2
Base surface area = 3.14 * (6 inches)^2
= 113.04 inches
The total surface area of the cylinder is the sum of the lateral surface area and the two base surface areas:
Total surface area = Lateral surface area + 2 * Base surface area
= 376.8 inches + 2 * 113.04 inches
= 376.8 inches + 226.08 inches
= 602.88 inches
Therefore, the surface area of the cylinder is approximately 602.88 square inches. Answer: \boxed{602.88}.