Question

2 right andle cones x and y are made.x having 3 times the radius of y and y having half the volume of x.Calculate ratio between the heights of x and y​

Answer 1

Answer:

Let radius of cone Y = r

Therefore, radius of cone X = 3r

Let volume of cone Y = V

Therefore, volume of cone X = 2V

Let h

1

be the height of X and h

2

be the height of Y.

Therefore,

Volume of cone X =

3

1

π(3r

2

)h

1

= 3πr

2

h

1

Volume of cone Y =

3

1

πr

2

h

2

Therefore,

V

2V

=

h

2

9h

1

h

2

h

1

=

9

2

h

1

:h

2

=2:9

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