The area of a circular base of the larger cylinder is 81π. The area of a circular base of the smaller cylinder is 9π.

Make a conjecture about the similar solids. How is the scale factor and the ratio of the surface areas related? Check all that apply.

- The dimensions of the larger cylinder are 3 times the dimensions of the smaller cylinder.

- The surface area of the larger cylinder is 32, or 9, times the surface area of the smaller cylinder.

- If proportional dimensional changes are made to a solid figure, then the surface area will change by the square of the scale factor of similar solids.

Question

Mathematics

Maximilian Woodward

3 July, 20:12

The area of a circular base of the larger cylinder is 81π. The area of a circular base of the smaller cylinder is 9π.

Make a conjecture about the similar solids. How is the scale factor and the ratio of the surface areas related? Check all that apply.

- The dimensions of the larger cylinder are 3 times the dimensions of the smaller cylinder.

- The surface area of the larger cylinder is 32, or 9, times the surface area of the smaller cylinder.

- If proportional dimensional changes are made to a solid figure, then the surface area will change by the square of the scale factor of similar solids.

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Answers (2)

Know the Answer?

Mateo Hanna · Answer 1

Answer: A & C

The dimensions of the larger cylinder are 3 times the dimensions of the smaller cylinder.

If proportional dimensional changes are made to a solid figure, then the surface area will change by the square of the scale factor of similar solids.

Lukas Moody · Answer 2

A: The dimensions of the larger cylinder are 3 times the dimensions of the smaller cylinder.

C: If proportional dimensional changes are made to a solid figure, then the surface area will change by the square of the scale factor of similar solids

Step-by-step explanation:

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