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CBSE Class 9 Answered

Poonam and ashok has to make arrangements for the accommodation of 150 persons. For this he plans to build a conical tent in such a way that each person have 4sq.m of the space on ground and 20 cubic m of air to breathe. Find the height of the conical tent
Asked by R ADITYA NARAYANAN | 22 Oct, 2013, 05:47: PM
answered-by-expert Expert Answer
Area of the base of the cone = (22/7)r2 = 150 x 4
Thus, (22/7) r2 = 600
r2 = (600 x 7)/22 = 4200/22 = 2100/11

Volume of the tent = (1/3)(22/7)r2h = 150 x 20

(1/3)(22/7)(2100/11)h = 3000


Thus, 200h = 3000
 
h = 15
 
Thus, the height of the tent is 15 m.
Answered by Rashmi Khot | 22 Oct, 2013, 10:40: PM
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