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Question
A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 80 m, calculate the total area of canvas required. Also, find the total cost of canvas used at Rs. 15 per metre if the width is 1.5 m.
Solution
Radius of the cylindrical part of the tent (r) = `105/2 m`
Slant height (l) = 80 m
Therefore, total curved surface area of the tent = 2πrh + πrl
= `(2 xx 22/7 xx 105/2 xx 4) + (22/7 xx 105/2 xx 80)`
= 1320 + 13200
= 14520 m2
Width of canvas used = 1.5 m
Length of canvas = `14520/1.5 = 9680 m`
Total cost of canvas at the rate of Rs. 15 per meter
= 9680 × 15
= Rs. 145200
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