A circus tent is cylindrical upto a height of 3.3 m nd conical above it.If the diameter of the base is 100m nd slant height is 56.4 m,find total canvas used in making tent. If the cost of canvas is Rs8 per sq.m,find the total cost pf canvas required in making the tent
Answers
Step-by-step explanation:
Dimensions of cylinder :
Height of cylinder = 3.3 m
Diameter = 100 m, then radius = 50 m.
Dimensions of cone :
Slant height l = 56.4 m.
radius R = 50 m.
Total canvas used in making tent = 2πrh + πRl
=> π[2rh + Rl]
=> 22/7[2 * 50 * 3.3 + 50 * 56.4]
=> 22/7[330 + 2820]
=> 22/7 * 3150
=> 9900 m²
Cost of canvas is 8/m².
Overall cost = 9900 * 8 = 79200
Therefore,
Total canvas used = 9900 m²
Total cost = 79200
Hope it helps!
Step-by-step explanation:
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