SSC CPO 2019 PYQ — Question 131

The correct answer is Option 1 i.e. √(xb/ya)

According to question:

Volumes of cylinders A/volumes of right circular cylinders B = x/y

And

Ratio of their heights is a : b

So,

πR²a/πr²b = x/y

⇒ R²/r² = (x × b)/(y × a)

⇒ R/r = √(x × b)/(y × a)

⇒ R/r = √(xb/ya)

 

Alternative method :

Ratio of volume of two cylinder depends on r²h

Required ratio = V₁ : V₂

⇒ r₁²h₁ : r₂²h₂ = x : y

⇒ r_{1 :} r₂ = $\sqrt {(x \times b)/(y \times a)}$

⇒ $\sqrt{xb/ya}$