Question

Ratio of volume of two cylinders is 3:4. If their diameters are same what is the ratio of their height?

Answer 1

$ratio \: of \: one \: cylinder \: = \pi \: r {}^{2} h = 3 \\ ratio \: of \: another \: cylinder \: = \pi \: r {}^{2} H = 3 \: \\ \frac{\pi \: r {}^{2} h}{\pi \: r {}^{2} H } = \frac{3}{4} \\ \frac{h}{H} = \frac{3}{4}$

Answer 2

volume of cylinder = 22/7×r×r×h
let the volumes of two cylinders be 3x and 4x
height of 1st cylinder be h1
height of 2nd cylinder be h2
radius of both cylinders are same
ATQ,(22/7×r×r×h1):(22/7×r×r×h2)=3:4
This gives h1:h2 = 3:4