Volume and Surface Area — Maths STD 9 — Question

4. 1 : 3

Solution:

Let the height of a circular cylinder and a right circular cone be h cm and H cm respectively.

Since a right circular and a right circular cone have the same radius and the same volume,

$\Rightarrow\pi\text{r}^2\text{h}=\frac{1}{3}\pi\text{r}^2\text{H}$

$\Rightarrow\text{h}=\frac{1}{3}\text{H}$

$\Rightarrow\frac{\text{h}}{\text{H}}=\frac{1}{3}$

⇒ Ratio of the height is 1 : 3.