Question

the radii the radii of two cylinders are in the ratio of 1 is to 2 and heads are in the ratio of 2 is to 5 the ratio of their volume will be ​

Answer 1

Answer:

Step-by-step explanation:Given radii ratio is 2:32:3 and height ratio 5:35:3

Let the radius be 2x,3x2x,3x and height be 5y,3y5y,3y

V_1=\pi(2x)^{2} \times 5yV  

1

​  

=π(2x)  

2

×5y

V_2=\pi (3x)^{2} \times 3yV  

2

​  

=π(3x)  

2

×3y

\dfrac {V_{1}}{V_{2}} = \dfrac {\pi(2x)^{2} \times 5y}{\pi (3x)^{2} \times 3y} = \dfrac {20}{27}  

V  

2

​  

 

V  

1

​  

 

​  

=  

π(3x)  

2

×3y

π(2x)  

2

×5y

​  

=  

27

20

​  

.