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प्रश्न
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 ______.
पर्याय
27 : 20
20 : 27
4 : 9
9 : 4
उत्तर
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 20 : 27.
Explanation:
Let the radii of the two cylinders be 2r and 3r and their heights be 5h and 3h, respectively.
Then, ratio of their volumes`=(pixx(2"r")^2xx5"h")/(pixx(3"r")^2xx3"h"`
`=(4"r"^2xx5)/(9"r"^2xx3)`
`=20/7`
= 20 : 27
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