Question

two cones have their heights in the ratio of 1:3 and 3:1 .the ratio of their volume is​

Answer 1

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two cones have their heights in ratio 1:3 and radii of their bases in the ratio 3:1 find the ratio of there volumes. plz explain in easy or long way

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Answer 2

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9th

Maths

Surface Areas and Volumes

Volume of Cone

If two cones have their hei...

MATHS

If two cones have their heights in the ratio 1 : 3 and radii 3 :1 then the ratio of their volumes is

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ANSWER

Let the height two cones are x and 3x and radius are 3y and y

Volume of cone =

3

1

πr

2

h

Then volume of first cone =

3

1

π(3y)

2

x=

3

9

π×xy

2

And volume of second cone =

3

1

π(y)

2

×3x=

3

1

π×3xy

2

Then the ratio of cones=

3

3

πxy

2

3

9

πxy

2

=

1

3

or 3:1