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)
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The formula for the surface area of a cylinder is given by the equation:
Surface Area = 2πr^2 + 2πrh, where r is the radius and h is the height.
Given that the diameter is 12 inches, we can find the radius by dividing the diameter by 2:
radius = diameter / 2 = 12 inches / 2 = 6 inches.
Plugging in the values into the formula, we get:
Surface Area = 2 × 3.14 × 6^2 + 2 × 3.14 × 6 × 10
= 2 × 3.14 × 36 + 2 × 3.14 × 6 × 10
= 226.08 + 376.8
= 602.88 inches^2.
Therefore, the surface area of the cylinder is approximately 602.88 square inches. Answer: \boxed{602.88}.