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The radii of two cylinders are …

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The radii of two cylinders are in ratio 2:3 are their heights are in ratio 5:3. Calculate the ratio of their volumes and the ratio of their curved surface.

Posted by Harshith Kambanna 8 years, 8 months ago

CBSE > Class 09 > Mathematics

1 answers

Naveen Sharma 8 years, 8 months ago

Ans. Let radius of first cylinder = 2x

Height of first cylinder = 5y

Volume of first cylinder = {tex}\pi \times (2x)^2\times 5y = 20\pi x^2y{/tex}

Curved surface area of first cylinder = {tex}2\pi\times 2x\times 5y = 20\pi xy{/tex}

Radius of 2nd cylinder = 3x

Height of 2nd cylinder = 3y

Volume of 2nd cylinder = {tex}\pi (3x)^2 \times 3y = 27\pi x^2y{/tex}

Curved surface Area of 2nd cylinder = {tex}2\pi\times (3x)\times 3y = 18\pi xy{/tex}

Ratio of Volume = {tex}20\pi x^2y\over 27\pi x^2y {/tex}= 20:27

Ratio of CSA = {tex}20\pi xy\over 18\pi xy{/tex}= 10:9

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CBSE > Class 09 > Mathematics