Question

Base areas two prisms are in the ratio 2:3 and there heights are in the ratio of 3:4. Find the ratio between their volumes​

Answer 1

Answer:

Step-by-step explanation:

Given ratio of bases of two cylinders is 3:4 and heights in ratio 2:3.

We k.n.t Volume of cylinder (V)=πr  

2

h.

r  

1

​  

:r  

2

​  

=3:4 and h  

1

​  

:h  

2

​  

=2:3.

⇒V  

1

​  

:V  

2

​  

=(πr  

1

2

​  

h  

1

​  

):(πr  

2

2

​  

h  

2

​  

)=r  

1

2

​  

h  

1

​  

:r  

2

2

​  

h  

2

​  

 

r  

1

2

​  

:r  

2

2

​  

=3  

2

:4  

2

=9:16      (∵r  

1

​  

:r  

2

​  

=3:4)

⇒V  

1

​  

:V  

2

​  

=9×2:16×3=3:8

Ratio of volumes is 3:8.