a conical tent is to accommodate 11 person each person must have 4meter sq. of the space on the ground and 20m3 of air to breathe find the radius and conical tent
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Answer:
No. of person occupying the conical tent=11
Area occupied by each person =4 sq. mts.
Total area = area of the base of the tent = area of the circle = 11×4
=44sq.m
Area of the base circle =22/7*r^2
Therefore, 44=22/7*r^2
r=14^1/2 or sqrt of 14
Now given vol of air occupied by each person =20m^3
Total vol. Of the tent = no. Of persons × vol occupied by each person
=20m^3×11=220m^3
Vol of cone =1/3*22/7*r^2*h
Also, vol of cone = 220m^3
Therefore
220=1/3*22/7*r^2*h
Where r=sqrt 14(proved above)
h=15m
Answer
Radius=sqrt 14
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