# Find The Ratio Of Their Heights

If the volumes of two cones are in the ratio 1 : 4 and their diameter are in the ratio 4 : 5, then the ratio of their height is ( take p 22/7)

- 25 : 64
- 5 : 4
- 1 : 5
- 5 : 16

**Answer: (1) 25 : 64**

**Explanation:-**

The ratio of volume of two cones = 1 : 4

The ratio of diameter of cones = 4 : 5

The ratio of radius of two cones = 2 : 5/2

**Formula-**

**The volume of the cone = pai x r ^{2} h/3**

Then, pai x (2)

^{2}h/3 : pai x (5/2)

^{2}h

_{1 /3}= 1 : 4

h/h

_{1}= 1 x25/4 x 4 x 4

h/h

_{1}= 25/64

h : h

_{1}= 25 : 64

Hence, the ratio of heights is 25 : 64.