Question

Two cones have their heights in the ratio 1 : 3 and the radii of their bases in the ratio 3 : 1. Find the ratio of their volumes.

Answer 1

Answer:

ratio of volume of two cone is 3:1

Answer 2

Answer:

let the heights be 1x and 3x respectively

and their radii be 3y and 1y .

volume of cone1 = volume of cone 2.

1/3\piπ r^{2} .

2.

h =1/3\piπ r^{2} .

2.

h .

1/3\piπ (3y)^{2} .

2 .

x =1/3\piπ (1y)^{2} .

2.

3x.

9y^{2} .

2.

* x =y^{2} .

2.

*3x.

9:3.

3:1.