If the ratio of the volumes of two cylinders is 6 : 1 and the ratio of their heights is 1 : 6, then what is the ratio of their radii ?
Answer & explanation
Correct answer: option 4
Ratio of heights = 1 : 6
Ratio of volumes = 6 : 1
r₁²h₁ : r₂²h₂ = 6 : 1 (volume of a cylinder = \(\pi \)r²h)
r₁² : 6r₂² = 6 : 1
r₁² : r₂² = 36 : 1
r₁ : r₂ = 6 : 1