Question

The base radii of two cylinders of the same height are in the ratio 2:3. What is the ratio of their volumes?

Answer 1

Answer:

answer is 4:9

Step-by-step explanation:

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Answer 2

Answer:

$\bold\red{Ratio=4:9}$

Step-by-step explanation:

Given,

The ratio of base radii of two cylinders are 2:3

Let,

the radius first cylinder be 'r'

and

the radius of second cylinder be 'R'

Therefore,

we get,

$=>\frac{r}{R}=\frac{2}{3}$

Now,

we know that,

Volume of cylinder, $\bold{V = \pi{r}^{2}h}$

Now,

Let,

the volume of first cylinder be 'v'

and

the volume of second cylinder be 'V'

Therefore,

we get,

$= > \frac{v}{V} = \frac{\pi {r}^{2} h}{\pi {r}^{2}h } \\ \\ = > \frac{v}{V} = \frac{ {2}^{2} }{ {3}^{2} } \\ \\ = > \frac{v}{V} = \frac{4}{9}$

Hence,

Ratio = 4:9