The surface area of the cylinder after dilation is: 36 units².
What is the surface Area of a Cylinder?
Surface area of a cylinder = 2πrh + 2πr²
Find the surface area of the cylinder before dilation:
Surface area = 2πrh + 2πr² = 2(π)(9)(9) + 2(π)(9²)
Surface area = 324π units²
Surface area of the cylinder after dilation = 324π × (1/3)²
= 324π × 1/9
= 36 units²
Thus, the surface area of the cylinder after dilation is: 36 units².
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