and are mathematically similar cylinders. Cylinder has surface area and Cylinder has surface area . If Cylinder has volume , find the volume of Cylinder .

Answer and explanation

Correct answer: A.

  1. Step 1: Find the area scale factor and linear scale factor: area scale factor . Therefore the linear scale factor is .
  2. Step 2: Find the volume scale factor: .
  3. Step 3: Multiply the volume of Cylinder by the volume scale factor: .
Answer
.
Why not the others: incorrectly multiplies volume by the area scale factor (); multiplies by the linear scale factor squared; multiplies by an unscaled power.

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