Question

If ratios of two cones is 2:1 and volumes are equal then their ratios of height is

Answer 1

$\frac{r1}{r2} = \frac{2}{1} \\ v1 = v2 \\ \frac{1}{3}\pi {(r1)}^{2} h1 = \frac{1}{3} \pi {(r2)}^{2}h2 \\ \frac{h1}{h2} = {( \frac{r2}{r1}) }^{2} = { (\frac{1}{2} )}^{2} = \frac{1}{4}$