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I dont understand what this question is asking me. Is the answer just 2197:8000

ID: 646839 • Letter: I

Question

I dont understand what this question is asking me. Is the answer just 2197:8000

Then I dont know what to do with the other two equations r1/r2=h1/h2=a/b=?

Am I supposed to find the ratios and heights and fill it in?

Sorry if these questions are silly but I just moved and dont currently have my textbook

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Thank your for help !

I dont understand what this question is asking me. Is the answer just 2197:8000 Then I dont know what to do with the other two equations r1/r2=h1/h2=a/b=? Am I supposed to find the ratios and heights and fill it in? Sorry if these questions are silly but I just moved and dont currently have my textbook

Explanation / Answer

The ratio of the volumes of two right circular cylinders is given as 2197:8000.

All right circular cylinders are similar -- their bases are circles and all circles are similar.

For similar figures, if the scale factor is a:b, then all corresponding linear measurements are in the ratio of a:b. All corresponding areas are in the ratio a^2:b^2, and corresponding volumes are in the ratio a^3:b^3.

Since the volumes are in the ratio 13^3:20^3:

V1:V2=2197:8000

A1:A2=13^2:20^2=169:400

S1:S2=13:20; in particular, the ratio of radii and the ratio of the heights will be 13:20