The formula to find the surface area of a cylinder is given by:
Surface Area = 2Ï€r^2 + 2Ï€rh
Where r is the radius of the base of the cylinder and h is the height of the cylinder.
Given that the diameter of the cylinder is 12 inches, we can find the radius by dividing the diameter by 2:
Radius = 12 inches / 2 = 6 inches
Plugging in the values into the formula:
Surface Area = 2Ï€(6^2) + 2Ï€(6)(10)
Surface Area = 2Ï€(36) + 2Ï€(6)(10)
Surface Area = 72Ï€ + 120Ï€
Surface Area ≈ 192π
Since the approximation of π is given as 3.14:
Surface Area ≈ 192(3.14)
Surface Area ≈ 602.88 square inches
Therefore, the surface area of the given cylinder is approximately 602.88 square inches.