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The radio of two cylinder are in the ratio 2:3 and the ratio of 5:3.find the ratio of their volumes
Asked by ramduttvashishth1237 | 12 Aug, 2019, 06:47: AM
answered-by-expert Expert Answer
Radii otwo cylinder are in the ratio 2:3 and height are in the ratio 5:3. Find the ratio of their volumes.
Let r1, r2 and h1, h2 be the radii and heights of two cylinders
r subscript 1 over r subscript 2 equals 2 over 3 space a n d space h subscript 1 over h subscript 2 equals 5 over 3 R a t i o space o f space v o l u m e s space equals space fraction numerator straight pi space straight r subscript 1 squared space straight h subscript 1 over denominator straight pi space straight r subscript 2 squared space straight h subscript 2 end fraction equals fraction numerator begin display style straight r subscript 1 squared space straight h subscript 1 end style over denominator begin display style straight r subscript 2 squared space straight h subscript 2 end style end fraction equals open parentheses fraction numerator begin display style 2 end style over denominator begin display style 3 end style end fraction close parentheses squared cross times open parentheses fraction numerator begin display style 5 end style over denominator begin display style 3 end style end fraction close parentheses squared equals 100 over 81
Answered by Renu Varma | 12 Aug, 2019, 10:23: AM

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CBSE 10 - Maths
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CBSE 10 - Maths
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