Question

in a marriage ceremony of her daughter reena, rajendra has to make accommodation of 150 persons, for this he plans to build a conical tent in such a way that each person has 4m square of space on ground and 20 m cube of air to breathe. What should be height of conical tent?

Answer 1

Answer:

Height of conical tent 15 m.

Step-by-step explanation:

Let R be the desired radius of the base of the tent.

Then, area of the base of the tent= $\pi$ R²

⇒150×4=$\pi$ R²

⇒R² =150×4/$\pi$

Now,volume of the tank =1/3$\pi$R²h

⇒150×20=1/3$\pi$R²h

⇒150×20=1/3$\pi$×150×4/$\pi$×h

⇒h=15

So,the height of conical tent needs to be 15 m.

Answer 2

Step-by-step explanation:

Answer:

Height of conical tent 15 m.

Step-by-step explanation:

Let R be the desired radius of the base of the tent.

Then, area of the base of the tent= \piπ R²

⇒150×4=\piπ R²

⇒R² =150×4/\piπ

Now,volume of the tank =1/3\piπ R²h

⇒150×20=1/3\piπ R²h

⇒150×20=1/3\piπ ×150×4/\piπ ×h

⇒h=15

So,the height of conical tent needs to be 15 m.

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