The radii of two cylinders are …
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Naveen Sharma 7 years 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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