Question

if the radius of two cylinder are in the ratio 2 is to 3 and their height is in the ratio 5 is to 3 what is the ratio of their volume​

Answer 1

let the radii be 2x and 3x  and

the height be 5y and 3y

so,

ratio of volume =r²h/R²H =(2x)²×5y/(3x)²×3y =20x²y/27x²y =20/27

HOPE IT HELPS!!!!

Answer 2

Given :-

if the radius of two cylinder are in the ratio 2:3

and their height is in the ratio 5:3

To be found :-

Ratio of their volume​

There are two different cylinders

Cylinder 1

Let its radius be r₁ = 2x

height be h₁ = 5x

Cylinder 2

Let its radius be r₂ = 5x

height be h₂ = 3x

We know that volume formula of cylinder

= πr²h   [ ∴ in which r is the radius and h is the height of the cylinder ]

$\bf Ratio\:\: of\:\: volume \:\:of \:\:cylinder\:\: 1\:\: and \:\:2$

$\bf =\frac{Volume\:\: of \:\:cylinder 1}{Volume \:\:of\:\: cylinder 2}$

$\bf = \frac{\pi {r_{1} }^{2}h_{1}}{\pi {r_{2} }^{2}h_{2}}$

$\bf = \frac{(2x)^{2}\times 5x}{(3x)^{2}\times 3x}}$

$\bf = \frac{4x^{2}\times 5x}{9x^{2}\times 3x}$

$\bf = \frac{4\times 5}{9\times 3}$

$\bf = \frac{20}{27}$

Hence

Ratio of their volume = 20:27