1.

1). 2 ∶ 32). 1 ∶ 33). 1 ∶ 44). 1 ∶ 2

Answer»

For cylinder A height is h1 and Volume is V1

Similarly,

For cylinder B height is h2 and Volume is V2

$(\frac{{{\rm{V1}}}}{{{\rm{V2}}}}{\rm{ = }}\frac{{{\rm{\PI (r1}}{{\rm{)}}^{\rm{2}}}{\rm{h1}}}}{{{\rm{\pi (r2}}{{\rm{)}}^{\rm{2}}}{\rm{h2}}}})$

$(\Rightarrow \frac{{\rm{5}}}{{{\rm{36}}}}{\rm{ = }}\frac{{{{{\rm{(r1)}}}^{\rm{2}}}}}{{{{({\rm{r2)}}}^{\rm{2}}}}}{\rm{ \TIMES }}\frac{{\rm{5}}}{{\rm{4}}})$

$(\Rightarrow \frac{{\rm{5}}}{{{\rm{36}}}}{\rm{ = }}\frac{{{{{\rm{(r1)}}}^{\rm{2}}}}}{{{{{\rm{(r2)}}}^{\rm{2}}}}}{\rm{ \times }}\frac{{\rm{5}}}{{\rm{4}}})$

$( \Rightarrow \frac{{{{{\rm{(r1)}}}^{\rm{2}}}}}{{{{{\rm{(r2)}}}^{\rm{2}}}}}{\rm{ = }}\frac{{\rm{5}}}{{{\rm{36}}}}{\rm{ \times }}\frac{{\rm{4}}}{{\rm{5}}})$

$(\Rightarrow \frac{{{{{\rm{(r1)}}}^{\rm{2}}}}}{{{{{\rm{(r2)}}}^{\rm{2}}}}}{\rm{ = }}\frac{1}{9})$

⇒ r1/r2 = 1/3

∴ Ratio of r1 and r2 is 1 ? 3



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