SSC CHSL 2022 PYQ — Question 54

The correct answer is Option 4 i.e. 20 : 27.

Given :

Ratio of radii = 2 : 3

Ratio of heights = 5 : 3

Formula Used:

$Volume\ of\ cylinder\ = \pi r^2h$

Explanation:

Let, for the first cylinder, r₁ = 2x and h₁ = 5y

Similarily for seconf cylinder, r₂ = 3x and h₂ = 3y

Using the values in the formula,

Ratio of volumes = ${{\pi \times (2x)^2 \times 5y}} \over {{\pi\times (3x)^2 \times 3y}}$

⇒ Ratio of volumes = ${{4x^2 \times 5y}} \over {{9x^2 \times 3y}}$ = $20 \over 27$

Hence the required ratio is $20 \over 27$ .