Question

the radius of 2 cylinder are in ratio 5:7 and heights are in ratio 3:5 the ratio of there csa is​

Answer 1

${\huge{\star{\underbrace{\tt{\red{Answer}}}}}}{\huge{\star}}$

$\Large{\blue{\tt{\underline{\underline{Given \ :-}}}}}$

${\sf{☞ \ r_{1}:r_{2} \ = \ 5:7}}$

${\sf{☞ \ h_{1}:h_{2} \ = \ 3:5}}$

$\Large{\green{\tt{\underline{\underline{To \ find \ :-}}}}}$

${\bold{• \ Ratio \ of \ CSA}}$

$\Large{\orange{\tt{\underline{\underline{Solution \ :-}}}}}$

${\tt{Let \ the \ radius \ of \ cylinder \ be \ 5x \ and \ 7x}}$

${\tt{Also , \ let \ the \ height \ of \ both \ cylinder \ be }}\\ {\tt{3x \ and \ 5x}}$

${\sf{↣ \ \frac{r1}{r2} = \frac{3x}{5x} }}$

${\sf{↣ \ \frac{h1}{h2} = \frac{3x}{5x} }}$

${\sf{↣ \ \frac{csa1}{csa2} = \frac{2\pi \times \: r1 \times h1}{2\pi \times \: r2 \times h2}}}$

${\sf{↣ \ \frac{csa1}{csa2} = \frac{5x \times 3x}{7x \times 5x}}}$

${\sf{↣ \ \frac{CSA_{1}}{CSA_{2}} = \frac{3}{7}}}$

${\sf{\boxed{CSA_{1}:CSA_{2} \ = \ 3:7}}}$

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