Question

19) Two cones have their heights in the
ratio 1:3 radic in the ratio 3:1.
What is the ratio of their volumes orA pair of dice its thrown
What is the
probability of getting
doublet?​

Answer 1

Answer:B

3:1

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.

Step-by-step explanation:

Answer 2

• Hence, the ratio

$is \: \frac{3}{1}$