Question

Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure. Explain why or why not.

Answer 1

The two figures are not similar because the ratio of the smaller cylinder's radius to the larger cylinder's radius (10:14 which reduces to 5:7) is different than the ratio of the smaller cylinder's height to the larger cylinder's height (35:42 which reduces to 5:6).

The two figures can only be similar if these ratios are equal.