Question

Ramaya decided to organise a small party with 11 persons on her birthday There is small ground near to her home She decided to arrange the party in this ground She fixed the cpnical trn in the groumd which can accomodate 11 persons Each person must have 4 sq m of space on the ground and 20 m3 of air tp breath Find the height of the conical tent

Answer 1

Here is your answer

Answer 2

Height of the conical tent is 15 meters.

Step-by-step explanation:

Ramaya is planning to organize a small party with 11 persons in a conical tent with radius r and height h.

Surface area of the base of the conical tent = $\pi r^{2}$

Volume of the cone = $\frac{1}{3}\pi r^{2}h$

It is given in the question that total volume of air consumed by 11 persons = volume of the cone

11×20 = $\frac{1}{3}\pi r^{2}h$ ---------(1)

And area required by the 11 persons to sit = area of the circular base of the cone

11×4 = πr²------(2)

From equation (1) and equation (2)

11×20 = $\frac{1}{3}(11\times 4)h$

220 = $\frac{44h}{3}$

h = $\frac{220\times 3}{44}$

h = 15 meter

Therefore, height of the cone is 15 meters.

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