Question

the ratio of height of two cylinder 5:3 as well as the ratio of their raddi 2:3. find the ratio of the volume of the cylinder​

Answer 1

Let the height of first cylinder = 5x = h1

Let the height of second cylinder = 2x = h2

The Radius of First cylinder = 2y = r1

The Radius of Second cylinder = 3y = r2

Ratio of Volume of cylinders :

Volume of 1st cylinder / Volume of 2nd cylinder

= πr1²h1 / πr2²h2

= (r1)² h1 / (r2)²h2

= (2y)² 5x / (3y)² 3x

= 4y² * 5x / 9y² *3x

= 20xy² / 27xy²

= 20 / 27

Ratio of Volume of cylinders = 20 : 27

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Answer 2

Answer:

20:27

Step-by-step explanation:

h1:h2 = 5:3

let h1=5x and h2=3x  .........................(1)

also,

r1:r2 = 2:3

let r1=2y and r2=3y   ..........................(2)

volume of cylinder= pi r^2 h

from (1) and (2)

v1 : v2 =>

pi * (2y)^2 * 5x : pi * (3y)^2 * 3x

pi * 4y^2 * 5x :   pi * 9y^2 * 3x

=> 4*5 : 9*3

=> 20:27