Question

Two cylinder of same volume have their radii in the ratio 3:1 what is the ratio of their height

Answer 1

Answer:

Explanation:

Correct option is

A

3

​  

:1

Given that h  

1

​  

:h  

2

​  

=1:3

Volume of cylinder is =πr  

2

h

We have, πr  

1

2

​  

h  

1

​  

=πr  

2

2

​  

h  

2

​  

 

⇒  

r  

2

2

​  

 

r  

1

2

​  

 

​  

=  

πh  

1

​  

 

πh  

2

​  

 

​  

=  

h  

1

​  

 

h  

2

​  

 

​  

=  

1

3

​  

 

⇒  

r  

2

​  

 

r  

1

​  

 

​  

=  

1

3

​  

 

​  

 

⇒r  

1

​  

:r  

2

​  

=  

3

​  

:1