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ICSE Class 8 Answered

the radii of two cylinders are in the ratio 2:3 and thier heights are in the ratio 5:3. calculate the ratios of thier volumes?
Asked by js805318 | 03 Mar, 2019, 07:37: PM
answered-by-expert Expert Answer
Let the ratio of the volumes of two cylinder be v1 and v2.
begin mathsize 12px style fraction numerator straight v 1 over denominator straight v 2 end fraction equals fraction numerator πr 1 squared straight h 1 over denominator πr 2 squared straight h 2 end fraction but space fraction numerator straight r 1 over denominator straight r 2 end fraction equals 2 over 3 therefore comma fraction numerator begin display style straight v 1 end style over denominator begin display style straight v 2 end style end fraction equals fraction numerator begin display style πx 4 xh 1 end style over denominator begin display style πx 9 xh 2 end style end fraction but space fraction numerator begin display style straight h 1 end style over denominator begin display style straight h 2 end style end fraction equals fraction numerator begin display style 5 end style over denominator begin display style 3 end style end fraction the space ratio space of space volume space becomes comma fraction numerator begin display style straight v 1 end style over denominator begin display style straight v 2 end style end fraction equals fraction numerator begin display style πx 4 straight x 5 end style over denominator begin display style πx 9 straight x 3 end style end fraction fraction numerator begin display style straight v 1 end style over denominator begin display style straight v 2 end style end fraction equals 20 over 27 end style
Answered by Science Mate | 03 Mar, 2019, 10:23: PM

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