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The Radii of Two Cylinders Are in the Ratio 3 : 5 and Their Heights Are in the Ratio 2 : 3. What is the Ratio of Their Curved Surface Areas? - Mathematics

Answer in Brief

The radii of two cylinders are in the ratio 3 : 5 and their heights are in the ratio 2 : 3. What is the ratio of their curved surface areas?

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Solution

Given that, `r_1 :r_2 = 3:5 " and " h_1 : h_2 = 2 : 3`

Now, the ratio of their curved surface area

`s_1 :s_2 = 2pir_1h_1 : 2 pir_2h_2`

`s_1 :s_2 = 2pir_1 h_1 : 2pir_2 h_2`

     `(s_1)/s_2 = (2pir_1h_2)/(2pir_2h_2)`

          `=(r_1 /r_2) (h_1/h_2)`

     `(s_1)/s_2 = 3/5 xx 2/3 = 2/5`

Hence , `s_1 :s_2 = 2 : 5`

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 5 | Page 86
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