Question

A conical tent can accommodate 77 persons. each person must have 16m3 of air to breathe. if the radius of the tent is 7 m then the height of the tent will be and surface area

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

The height of cone is 24 m and surface area of cone is 550 sq.m.

Step-by-step explanation:

No. of persons can accommodate in a tent = 77

Each person required air = $16 m^3$

So, 77 person requires air =$77 \times 16 =1232 m^3$

Radius of tent = 7 m

Volume of conical tent = \frac{1}{3} \pi r^2 h

So,$\frac{1}{3} \pi r^2 h = 1232\\ \frac{1}{3} \times \frac{22}{7} \times 7^2 \times h = 1232 \\ h = \frac{1232 \times 7 \times 3}{22 \times 7^2}$

h = 24 m

So,Height of tent is 24 m

Curved surface area of tent = $\pi r \sqrt{h^2+r^2} = \frac{22}{7} \times 7 \times \sqrt{24^2+7^2}=550 m^2$

Hence The height of cone is 24 m and surface area of cone is 550 sq.m.

#Learn more:

A conical tent is to accommodate 11 person each person must have 4m sq. of the space on the ground and 20m3 of air to breathe find the radius and conical tent

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