Four friends went for a picnic at a hill station. Due to peak season, they did not get accommodation in any of the desired hotels. The weather was fine and so they decided to do camping. They were carrying 500 sq m of cloth piece with them. They used some of it to make a conical tent of height 10 m and diameter 14 m with the floor.
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Answer:
conical tent with height 8m and diameter 12m.
=> radius = 12/2 6 m =
h = 8 m
slant height L = v62+ 82 = 10 m =
slant height of the tent = 10 m
Lateral surface Area = TRL
= 1 ( 6) ( 10)
60T =
= 60 x 3.14
= 188.4 m2
cloth used for the floor = 200 - 188.4 =
11.6 m2
volume of the tent = (1/3)TR2h
= (1/3)(3.14)*628
301.44 m3
area of the floor = TR2
= 3.14 (6)
= 113.04 m2
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