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

15 : 16

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14 : 17

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20 : 27

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4 : 9

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Solution

The correct option is C $20 : 27$
Volume of a cylinder with radius $r$ and height $h$ is $π r^{2} h$
Ratio of volumes $= \frac{π r_{1}^{2} h_{1}}{π r_{2}^{2} h_{2}}$
$= (\frac{r_{1}}{r_{2}})^{2} \frac{h_{1}}{h_{2}}$
$= \frac{20}{27}$
So, Option (C)

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Similar questions

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. Then the ratio of their volumes is
(a) 10 : 17
(b) 20 : 27
(c) 17 : 27
(d) 20 : 37

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) $27 : 20$

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

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

The correct option is C 20:27Volume of a cylinder with radius r and height h is πr2hRatio of volumes =πr21h1πr22h2 =(r1r2)2h1h2 =2027So, Option (C)

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

The correct option is C $20 : 27$
Volume of a cylinder with radius $r$ and height $h$ is $π r^{2} h$
Ratio of volumes $= \frac{π r_{1}^{2} h_{1}}{π r_{2}^{2} h_{2}}$
$= (\frac{r_{1}}{r_{2}})^{2} \frac{h_{1}}{h_{2}}$
$= \frac{20}{27}$
So, Option (C)