Question

1) A conical tent is to accommodate 600 persons. Each person requires 5 square meters of space on the ground and 30 cubic meters of air to breathe. find the height of the conical tent...

Answer 1

Nice question mate!!!✌✌✌

Answer is h = 6 m

Refer attachment for understanding the process step by step...


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Answer 2

Suppose that the radius of base is r m and the height is h m.
Area of base of the tent = number of people ×area required by 1 person
                                    = 600×5= 3000 m2

Now, volume of the cone = number of people ×volume of air to breadth for 1 person
                                      = 600×30 = 18000 m3

∴ πr2 = 3000
⇒r2 =3000×7/22
=21000/22
= 1050


Also, 1/3πr2h = 18000
⇒
$\frac{1}{3} \times \frac{22}{7} \times 1050 \times h \: = 18000$

$=> h \: = \frac{18000 \times 21}{22 \times 1050}$
h = 16.36

∴ Height of the tent = 16.36 m


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