A conical tent with a capacity of 616 m 3 has a base area 154 m 2 . The height of the tent is :

Given,

Capacity (volume) of the conical tent = 616 m³

Base area of the conical tent = 154 m²

By formula,

Volume of cone = $\frac{1}{3} \times \text{Base area} \times \text{Height}$

Substituting values, we get :

$$\begin{aligned}\Rightarrow 616 = \frac{1}{3} \times 154 \times h \\[1em] \Rightarrow 154h = 616 \times 3 \\[1em] \Rightarrow h = \frac{1848}{154} \\[1em] \Rightarrow h = 12 \text{ m}.\end{aligned}$$

Thus, the height of the tent = 12 m.

Hence, option 4 is the correct option.