The radii of two cylinders are in the ratio of $2 : 3$ and their heights are in the ratio of $5 : 3$ . The ratio of their volumes is

10 : 17

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20 : 27

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17 : 27

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20 : 37

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Solution

The correct option is B $20 : 27$
Volume of the cylinder $= π r^{2} h$
$r_{1} : r_{2} = 2 : 3$
$h_{1} : h_{2} = 5 : 3$
Ratio of their volume $= \frac{r_{1}^{2} h_{1}}{r_{2}^{2} h_{2}} = \frac{20}{27}$
Therefore, ratio of volumes is $20 : 27$
Hence, option B is the correct answer.

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Similar questions

Q. The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. Then the ratio of their volumes is
(a) 10 : 17
(b) 20 : 27
(c) 17 : 27
(d) 20 : 37

Question 6
The radii of two cylinders are in the ratio of 2:3 and their heightsare in the ratio of 5:3. The ratio of their volumes is:

A) 10:17
B) 20:27
C) 17:27
D) 20:37

Q. The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is
(a) 27 : 20
(b) 20 : 27
(c) 4 : 9
(d) 9 : 4

Q. The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their volumes is 20:___.

The ratio of the radii of two cylinders is $2 : 3$ and the ratio of their heights is $5 : 3.$ The ratio of their volumes will be

(a) $4 : 9$

(b) $9 : 4$

(d) $27 : 20$

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The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their volumes is

The correct option is B 20:27Volume of the cylinder =πr2hr1:r2=2:3h1:h2=5:3Ratio of their volume =r21h1r22h2=2027Therefore, ratio of volumes is 20:27Hence, option B is the correct answer.

The radii of two cylinders are in the ratio of $2 : 3$ and their heights are in the ratio of $5 : 3$ . The ratio of their volumes is

The correct option is B $20 : 27$
Volume of the cylinder $= π r^{2} h$
$r_{1} : r_{2} = 2 : 3$
$h_{1} : h_{2} = 5 : 3$
Ratio of their volume $= \frac{r_{1}^{2} h_{1}}{r_{2}^{2} h_{2}} = \frac{20}{27}$
Therefore, ratio of volumes is $20 : 27$
Hence, option B is the correct answer.