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The Radii of the Base of a Cylinder and a Cone Are in the Ratio 3 : 4. If Their Heights Are in the Ratio 2 : 3, the Ratio Between Their Volumes is - Mathematics

MCQ

The radii of the base of a cylinder and a cone are in the ratio 3 : 4. If their heights are in the ratio 2 : 3, the ratio between their volumes is

Options

  • 9 : 8

  • 3 : 4

  • 8 : 9

  • 4 : 3

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Solution

 9 : 8
Let the radii of the base of the cylinder and cone be 3r and 4r and their heights be 2h and 3h, respectively.
Then, ratio of their volumes`= (pi(3"r")^2xx(2"h"))/(1/3 pi(4"r")xx(3"h"))`

`=(9"r"^2xx2xx3)/(16"r"^2xx3`

`=9/8`

= 9 : 8

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 61 | Page 923
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