Question

two cones have hieght in ratio 1:3 and ratio of radii is 3:1 what will be the ratio of their volume​

Answer 1

Step-by-step explanation:

The ratio of heights of cone is 1:3.

The ratio of radius of cone is 3:1.

We know that the volume of the cone,

V=

3

1

πr

2

h

Therefore,

V

2

V

1

=

3

1

πr

2

2

h

2

3

1

πr

1

2

h

1

V

2

V

1

=

r

2

2

h

2

r

1

2

h

1

V

2

V

1

=

1×3

9×1

V

2

V

1

=

1

3

Hence, the ratio of the volume of this cone is 3:1.

Answer 2

Step-by-step explanation:

Let their heights be h and 3h and their radii be 3r and r.

Then, V1 = 1/3π(3r)^2×h and

V2 = 1/3×π×r^2×(3h)

It implies that V1/V2 = 3/1

= 3:1