Question

the raddi of two cylinders are in the ratio 2 : 3 and the height are in the ratio of 5 : 3 ratio of their volume is

Answer 1

$emaine \: raddi \: ratio \: is \: = 2x \: \: 3x \\ height \: ratio \: is \: = 5y \: \: 3y \\ therefore \: volum \: ratio \: is \: \frac{\pi {r}^{2} h}{\pi {r}^{2}h } \\ \: \: \: \: \: \: = \frac{4 {x}^{2}5y }{9 {x}^{2} 3y} \\ = \frac{20}{27} = 20 \: ratio \: 27 \: \\ is \: the \: volum \: of \: the \: clinder$

Answer 2

Answer:1:5

Step-by-step explanation:

Let radius of two cylinders be 2x and 3x respectively and heights be 5y and 4y respectively (R1:R2=2:3;H1:H2=5:4) Volume be V1 and V2

Now,

Volume of cylinder= πr²h

V1 = πR²H

V2 = πr²h

V1:V2= πR²H/πr²h

=π(2x)²5y/π(5x)²4y

=(2x)²5y/(5x)²4y

=4x²5y/25x²4y                         (π/π=1)

=1:6