A conical tent is to accommodate 11 persons. Each person must have 4 sq.m of the space on the ground and 20 cubic metre of air to breath. Find the height of the cone.

Open in App

Solution

As each person needs 4 sq.m space on ground
So 11 person will need 44 sq.m space on the ground.
Therefore,
Area of ground = 44sq.m
πr = 44sq.m
r = 44/π .......(1)
and each person needs 20cu.m of air
So 11 persons will need 220 cu .m of air
Therefore volume of tent = 220 cu.m
1/3πr h = 220cu.m
(1/3π)(44/π)h = 220 ( from 1 )
1/344h = 220
h = 2203 / 44
h = 5*3
h = 15 cm

Suggest Corrections

Similar questions

Q. A conical tent is to accommodate 11 persons. Each person must have 4 square metres of the space on the ground and

20 m^{3}

of air to breathe. Find the height of the cone. [3 MARKS]

Q. A conical tent is to accommodate 11 persons. Each person must have 4 m² of the space on the ground and 20 m³ of air to breath. Find the height of the cone.

A conical tent is to accommodate 11 persons. Each person must have 4 square metres of the space on the ground and $20 m^{3}$ of air to breathe. Find the height of the cone.

Q. A conical tent is to accommodate

11

persons. Each person must have

4 m^{2}

of the space on the ground and

20 m^{3}

of air to breathe. Find the height of the conical tent

[T a k e, π = \frac{22}{7}]

Choose the correct answer in each of the following :

A conical tent is to accommodate 11 persons such that each person occupies $4 m^{2}$ of space on the ground.They have $220 m^{3}$ of air to breathe. The height of the cone is

(a) 14 m (b) 15 m (c) 16 m (d) 20 m

Join BYJU'S Learning Program