Question

find the ratio of cone and cylinder having same base and same height

Answer 1

Taking in term of volume

Volume of Cone =

$\frac{1}{3} \pi \: {r}^{2} h$

Volume of Cylinder =

$\pi {r}^{2} h$

So their ratios are

$\frac{1}{3} \pi {r}^{2} h \: \: : \: \pi {r}^{2} h$

πr²h will get canceled

$so \: the \: required \: ratio \: is \: \frac{1}{3} \: : \: 1$