How much cloth 2.5 m wide will be required to make a conical tent having base radius 7 m and height 24 m ?
How much cloth 2.5 m wide will be required to make a conical tent having base radius 7 m and height 24 m ?
A. 120 m
B. 180 m
C. 220 m
D. 550 m
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Correct Answer - C
Given : `r = 7m and h = 24 m`
`:. l^(2) = (r^(2) + h^(2)) = [7^(2) + (24)^(2)] = (49 + 576) = 625`
`rArr l = sqrt(625) = 25 m`
Area of the cloth needed `= pi r l = ((22)/(7) xx 7 xx 25) m^(2) = 550 m^(2)`
Length of the cloth `= ("area")/("width") = (550 xx (2)/(5)) m = 220 m`
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