find what length of canvas , 1.5m in width, is required to make a conical tent 48m in diameter and 7m in height. Given that 10% of canvas is used in stitchings. Also find cost of canvas at rate of Rs.24 per metre
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Dear Student,
● Answer -
Length of canvas = 1382 m
Cost of canvas = 33176 Rs
◆ Explanation -
# Given -
d = 48 m
h = 7 m
# Solution -
We know,
r = d/2
r = 48/2
r = 24 m
And,
l = √(r^2 + h^2)
l = √(24^2 + 7^2)
l = √(576 + 49)
l = √(625)
l = 25 m
Curved surface area of conical tent -
A = πrl
A = 3.142 × 24 × 25
A = 1885 m²
Length of canvas is calculated by -
x = A/w × (100+10)/100
x = 1885/1.5 × 1.1
x = 1382 m
Cost of canvas is -
Cost = 1382 × 24
Cost = 33176 Rs
Hope this helps...
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