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A cylinder has a radius of 2.8 inches and a height of 2.4 inches. Which cylinder is similar?
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Two cylinders are similar exactly when their corresponding linear dimensions are proportional. So a cylinder with radius r' and height h' is similar to the given one iff
r'/2.8 = h'/2.4.
Equivalently r'/h' = 2.8/2.4 = 7/6, or (r',h') = (k·2.8, k·2.4) for some positive k.
Examples of similar cylinders: (5.6 in, 4.8 in) with k=2; (4.2 in, 3.6 in) with k=1.5; (1.4 in, 1.2 in) with k=0.5.
If you have multiple-choice options, give them and I’ll check which one satisfies r'/2.8 = h'/2.4.
r'/2.8 = h'/2.4.
Equivalently r'/h' = 2.8/2.4 = 7/6, or (r',h') = (k·2.8, k·2.4) for some positive k.
Examples of similar cylinders: (5.6 in, 4.8 in) with k=2; (4.2 in, 3.6 in) with k=1.5; (1.4 in, 1.2 in) with k=0.5.
If you have multiple-choice options, give them and I’ll check which one satisfies r'/2.8 = h'/2.4.
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