Answer: 402.124 inches²
Step-by-step explanation:
What is a cylinder?
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
The surface area of a cylinder is the sum of the area of the base and the lateral area of the curved cylinder.
Given that the diameter of the cylinder is 8 inches, while the height of the cylinder is 12 inches. Since the radius is half the length of the diameter. Therefore, the radius of the given cylinder is 4 inches.
Now, the surface area of the cylinder is,
Surface area of the cylinder = Area of the bases + Area of the curved surface
= 2(πr²) + 2πrh
= 2(π × 4²) + (2 × π × 4 × 12)
= 2(50.265) + 301.5928
= 100.5309 + 301.5928
= 402.124 inches²
Hence, the surface area of the cylinder is 402.124 inches².
Learn more about Cylinder here:
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