Question

A conical tent is 9m high with base 24 m. Find the number of persons it can accomodate if each person requires . (a) 2 square metre space on ground. (b) 15 cubic metre space to breathe. ​

Answer 1

Given:-

• Height of Conical tent = 9m

• Radius of Conical tent = 24/2 → 12m

• Each person requires 2m² space on vround and 15cm³ meter space to breathe.

To Find:-

• Number of persons can can accommodate after completing above criteria.

Formulae used:-

• Area of Circle = πr²

• Volume of cone = ⅓πr²h

Where,

• r = Radius.

• h = Height.

Now,

→ Area of Base = πr²

→ Area of Base = π × 12 × 12 → 452.16

Now Atq

• It is said that Person required 2m² space on ground.

So,

→ Number of Persons can accommodate = Area/2

→ 452.16/ 2 = 226 Persons

Hence, 226 Persons can accommodate.

Now,

b)

→ Volume of cone = ⅓ × π × r² × h

→ ⅓ × π × 12 × 12 × 9

→ 1356.48m³

Atq.

• If each Person need 15m³ to breath

So,

→ Number of Persons can accommodate = Volume/2

→ 1356.48/15

→ 90 Person

Hence, 90 Persons can accommodate in the conical tent.

Answer 2

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