Question

The radii of two cylinders are in the ratio 2.: 3 and their heights are in the ratio 5: 8. Calculate the ratin
of their curved surface areas.​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

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Answer 2

Answer:

$\red {Ratio \: of \: curved \: surface \:areas}$

$\green {= \frac{5}{12}}$

Step-by-step explanation:

$\underline{ Dimensions of two cylinders:}$

$r ,R \:are \:radii \: of \: cylinders$

$h,H \:are \: heights \: respectively$

$r : R = 2 : 3 \:and \\h : H = 5 : 8$

$\boxed {\pink { Curved \: surface \:area = 2\pi rh }}$

$Ratio \: of \: curved \: surface \:areas \\= \frac{ 2\pi rh }{2\pi RH }\\= \frac{r}{R} \times \frac{h}{H}\\= \frac{2}{3} \times \frac{5}{8} \\= \frac{5}{12}$

Therefore.,

$\red {Ratio \: of \: curved \: surface \:areas}$

$\green {= \frac{5}{12}}$

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