Question

two cylinders have their radii in the ratio 4 :5 and their Heights are in the ratio 5 : 6 then the ratio of their volume is

Answer 1

let ratio radius of the cylinder is 4x and 5x and the height of cylinder is 5y &6y

now ,
volume of cylinder = π r²h

ratio = π(4x)²5y/π(5x)²6y

=16x²×5/25x²×6

=16/30=8/15

= 8:15

Answer 2

Answer:

Step-by-step explanation:

radius= 4x

height=5y

Curved surface area = 2*pi*r*h

=2*pi*4x*5y

Case 2

radius=5x

height=6y

Curved surface area = 2*pi*5x*6y

Case1/Case2 = 2*pi*4x*5y/2*pi*5x*6y  

( simplification = cancel 2 to 2 and pi to pi and x to x and y to y)

=4*5/5*6

20/30 ( simplification )

2: 3