The radii of two cylinders are in the ratio $2 : 3$ and their heights are in the ratio $4 : 3$ . The ratio of their volumes will be:

16 : 27

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8 : 9

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1 : 2

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2 : 1

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Solution

The correct option is A $16 : 27$
$\frac{V_{1}}{V_{2}} = \frac{π r_{1}^{2} h_{1}}{π r_{2}^{2} h_{2}} = {(\frac{r_{1}}{r_{2}})}^{2} \times \frac{h_{1}}{h_{2}} = {(\frac{2}{3})}^{2} \times \frac{4}{3} = \frac{16}{27} = 16 : 27$

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Similar questions

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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2 : 3

Question 24

The ratio of radii of two cylinders is 1 : 2 and heights are in the ratio 2 : 3. The ratio of their volumes is
a) 1 : 6
b) 1 : 9
c) 1 : 3
d) 2 : 9

1 : 2

2 : 3 .

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