A Circus tent is cylindrical up to a height of 3.3 m and conical above it.If the diameter of the base is 100m and slant height of the conical part is 56.4m find the total canvas used in making the tent.If the cost of canvas is rupees 8 per metre square find the total cost of canvas required in making the tent.
Answers
Answer:
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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 = = 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 * * 50 * 3.3] + [ * 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 metre square.
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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