Question

The volume of two cylinders are as a : b and their heights are c : d. Find the ratio of their diameters?

(a) \(\frac{ab}{bc}\)

(b) \(\frac{ad^2}{ac^2}\)

(c) \(\sqrt{\frac{ad}{bc}}\)

(d) \(\sqrt{\frac{a}{b}}\times\frac{c}{d}\)

Answer 1

(c) \(\sqrt{\frac{ad}{bc}}\)

Let r₁ and r₂ be radii of the two cylinders. Given

⇒ \(\frac{r_1}{r_2}= \sqrt{\frac{ad}{bc}}\)