Question

A conical tent is to accommodate 10 persons.Each person must have 6sq metre to space and 30 cubic metre to brethe.What is the height of cone

Answer 1

Answer

According to given information;

Volume of tent = 30 m^3

Area of base = 6 × 10 = 60 m^2

.°. We get:

$\pi {r}^{2} = 60$

Volume of cone

$\frac{1}{3} \pi {r}^{2} h = 30$

We have the value of $\pi r^{2}$

Height = $\frac{30 \times 3}{60}$

Height = 1.5 m

Answer 2

Solution :-

Given : Volume of the conical tent = 30 m³

Area of the base = 6 × 10 = 60 m²

We know that,

Volume of a cone = ⅓πr²h cubic. units

According to the question,

=> ⅓ × 60 × h = 30

=> h = (30 × 3)/60 = 1.5

Hence,

Height of the cone = 1.5 m