A circus tent is cylindrical upto a height of 3.3m and conical above it.If diameter of base is 100m and slant height of conical part is 56.4m,find total canvas used in making tent.If cost of canvas is ₹8 per m2,find total cost of canvas required in making tent.
Answers
The total canvas used in making the tent is 9900 m².
If the cost of Canvas is rupees 8 per metre square then the cost of making the tent is Rs. 79200.
Step-by-step explanation:
The height of the cylindrical part of the tent, h = 3.3 m
The slant height of the conical part of the tent, l = 56.4 m
The diameter of the base of the tent, d = 100 m
So, the radius of the base of the tent, r = 100/2 = 50 m
Step 1:
Therefore,
The total canvas used in making the tent is given by,
= Total curved surface area of the tent
= [Curved surface area of cylindrical part] + [Curved surface area of conical part]
= [2πrh] + [πrl]
= [2*(22/7)*50*3.3] + [(22/7)*50*56.4]
= [1037.14 m²] + [8862.85 m²]
= 9899.99 m²
≈ 9900 m²
Step 2:
Now,
The cost of the canvas is given as Rs. 8 per m².
Therefore,
The cost of making the tent with the required area of canvas i.e., 9900 m² is,
= 9900 m² * Rs. 8
= Rs. 79200
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Answer:
Step-by-step explanation:
The total canvas used in making the tent is given by,
= Total curved surface area of the tent
= [Curved surface area of cylindrical part] + [Curved surface area of conical part]
= [2πrh] + [πrl]
= [2*(22/7)*50*3.3] + [(22/7)*50*56.4]
= [1037.14 m²] + [8862.85 m²]
= 9899.99 m²
≈ 9900 m²
Step 2:
Now,
The cost of the canvas is given as Rs. 8 per m².
Therefore,
The cost of making the tent with the required area of canvas i.e., 9900 m² is,
= 9900 m² * Rs. 8
= Rs. 79200