Question

Two cylinder of same volume have their radii in the ratio √3:4. What will be the ratio of their heights?


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Answer 1

Answer:

I don't understand understand your qwetion

sry bhai I don't know

Answer 2

Answer:

Let radius of 1st cylinder = r1

Let radius of 2nd cylinder = r2

According to question :

$\frac{r1}{r2} = \frac{ \sqrt{3} }{4}$

Let height of 1st cylinder = h1

Let height of 2nd cylinder = h2

Volume of 1st cylinder = Volume of 2nd cylinder

$\pi \: {r1}^{2} h1 = \pi \: {r2}^{2} h2 \\ {r1}^{2} h1 = {r2}^{2} h2 \\ \\ \frac{ {r1}^{2} }{ {r2}^{2} } = \frac{h2}{h1} \\ \\ ( { \frac{r1}{r2}) }^{2} = \frac{h2}{h1} \\ \\ ( { \frac{ \sqrt{3} }{4}) }^{2} = \frac{h2}{h1} \\ \\ \frac{3}{16} = \frac{h2}{h1} \\ \\ \frac{h1}{h2} = \frac{16}{3}$

Therefore, The required ratio is 16 : 3.

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