Find the length of canvas required to make a conical tent 12m in diameter and 63m in slant height if the width of canvas is 2m.Also,find the cost of canvas at the rate of Rs15 per metre.
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Diameter of the cone= 12m
Radius of the cone= 6m
Slant height of the cone= 63m
Therefore,
Area of the canvas used= area of the cone= pi.r(root (h^2+ r^2))
= pi.6(3969+36)= 1192.9m^2
Now
Width of the canvas= 2m
Area of the canvas= 1192.9 m^2
L×2=1192.9
L= 596.45m
Now
Cost of 1m canvas=15rs
Cost of 596.45m canvas= 15×596.45=8946.45rs
Radius of the cone= 6m
Slant height of the cone= 63m
Therefore,
Area of the canvas used= area of the cone= pi.r(root (h^2+ r^2))
= pi.6(3969+36)= 1192.9m^2
Now
Width of the canvas= 2m
Area of the canvas= 1192.9 m^2
L×2=1192.9
L= 596.45m
Now
Cost of 1m canvas=15rs
Cost of 596.45m canvas= 15×596.45=8946.45rs
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