the radii of two cylinders are in the ratio 2:3 and their height are in the ratio 5:3. ratio of their volume

20 : 27

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10 : 9

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18 : 13

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9 : 20

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Solution

The correct option is A $20 : 27$
Let $r_{2}, r_{2}, h_{1}, h_{2}$ be the radius and height of two cylinder

As per question
$\frac{r_{1}}{r_{2}} = \frac{2}{3}, \frac{h_{1}}{h_{2}} = \frac{5}{3} - (1)$

Ratio of their volume= $\frac{π . r_{1} 2 h_{1}}{π r_{2}^{2} h_{2}} = (\frac{2}{3})^{2} . \frac{5}{3} = \frac{20}{27}$

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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
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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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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

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the radii of two cylinders are in the ratio 2:3 and their height are in the ratio 5:3. ratio of their volume

The correct option is A 20:27Let r2,r2,h1,h2 be the radius and height of two cylinderAs per questionr1r2=23,h1h2=53 −(1)Ratio of their volume=π.r12h1πr22h2=(23)2.53=2027