Question

18. Two right circular cones A and B are made
having six times the radius of B and B having
half the volume of A. Calculate the ratio between
the heights of A and B.​

Answer 1

Step-by-step explanation:

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