A conical tent of diameter 7m and height 3m is to be maid by tarpaulin how much length of tarpaulin of width 1m is required for tent?
Answers
QuestioN :
A conical tent of diameter 7m and height 3m is to be maid by tarpaulin how much length of tarpaulin of width 1m is required for the tent?
GiveN :
- A conical tent of diameter 7m and height 3m is to be maid by a tarpaulin.
To FiNd :
- How much tarpaulin of width 1m is required for the tent.
ANswer :
50.71 m of tarpaulin is required for the tent.
SolutioN :
The diameter of conical tent = 7m
⇒ Radius of conical tent = 7/2 = 3.5 m
⇒ Height of tent = 3 m
Therefore,
⇒ Slant height, l = √[(3.5)² + (3)²]
⇒ l = √[12.25 + 9]
⇒ l = √[21.25]
⇒ l = 4.61 m
Now, the tarpaulin is the CSA of the tent.
⇒ CSA of cone = πrl
⇒ CSA of tent = 22/7 × 3.5× 4.61
⇒ CSA of tent = 50.71 m²
Now,
⇒ Area of tarpaulin materials = CSA of the tent
⇒ Length × 1 = 50.71
⇒ Length = 50.71/1
⇒ Length = 50.71 m
∴Hence, 50.71 m of tarpaulin is required for the tent.
Answer:
The diameter of conical tent = 7m
⇒ Radius of conical tent = 7/2 = 3.5 m
⇒ Height of tent = 3 m
Therefore,
⇒ Slant height, l = √[(3.5)² + (3)²]
⇒ l = √[12.25 + 9]
⇒ l = √[21.25]
⇒ l = 4.61 m
Now, the tarpaulin is the CSA of the tent.
⇒ CSA of cone = πrl
⇒ CSA of tent = 22/7 × 3.5× 4.61
⇒ CSA of tent = 50.71 m²
Now,
⇒ Area of tarpaulin materials = CSA of the tent
⇒ Length × 1 = 50.71
⇒ Length = 50.71/1
⇒ Length = 50.71 m