The radii of two cylinders are in the ratio $2 : 3$ 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 C $20 : 27$
$\frac{h_{1}}{h_{2}} = \frac{2}{3}, \frac{r_{1}}{r_{2}} = \frac{5}{3}$
$\frac{V_{1}}{V_{2}} = \frac{π}{π} {(\frac{r_{1}}{r_{2}})}^{2} (\frac{h_{1}}{h_{2}}) = {(\frac{2}{3})}^{2} (\frac{5}{3})$
$= \frac{4}{9} \times \frac{5}{3} = \frac{20}{27}$

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

The correct option is C 20:27h1h2=23,r1r2=53V1V2=ππ(r1r2)2(h1h2)=(23)2(53)=49×53=2027

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

The correct option is C $20 : 27$
$\frac{h_{1}}{h_{2}} = \frac{2}{3}, \frac{r_{1}}{r_{2}} = \frac{5}{3}$
$\frac{V_{1}}{V_{2}} = \frac{π}{π} {(\frac{r_{1}}{r_{2}})}^{2} (\frac{h_{1}}{h_{2}}) = {(\frac{2}{3})}^{2} (\frac{5}{3})$
$= \frac{4}{9} \times \frac{5}{3} = \frac{20}{27}$