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A right circular cone and a right circul...

A right circular cone and a right circular cylinder have the same base and their heights are in the ratio 2:3. The ratio of their volumes will be

A

`1:9`

B

`4:9`

C

`5:9`

D

`2:9`

Text Solution

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The correct Answer is:
D
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A right circular cone and a right circular cylinder have the same base and their heights are in the ratio of 2:3. The ratio of their volume will be:- एक लम्ब वृत्ताकार शंकु और एक लंब वृत्ताकार सिलेंडर का आधार बराबर है, उनकी ऊचाई 2:3 के अनुपात में है। उनके आयतन का अनुपात कितना होगा?

The base radii of two right circular cones of the same height are in the ratio 3:5. Find the ratio of their volumes.

Knowledge Check

  • Two right circular cylinders of equal volume have their heights in the ratio 1:2. The ratio of their radii is :

    A
    `sqrt(2) :1`
    B
    `2:1`
    C
    `1:2`
    D
    `1:4`

  • A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and the hight are in the ratio 5:12, then the ratio of the total surface area of the cylinder to that of the cone is

    A
    3:1
    B
    13:9
    C
    17:9
    D
    34:9

  • A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is

    A
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    C
    `3 : 1`
    D
    `1 : 3`

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    The base radii of two right circular cones of the same height are in the ratio 5:5. Find the ratio of their volumes.

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