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A circus tent is cylindrical to a height of 3 metres and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent.
For cylindrical part, we have
Height( h) = 3 m
Radius (r) = m
∴ Total curved surface area = 2πrh+2πrl
= πr(2h+l) = ×× (6+53) m2= 11×15×59 m2
Hence, length of 5 m wide canvas = m = 1947 m
A bus stop is barricaded from the remaining part of the road, by using 50 hollow cone made of recycled card-board. Each cone has a base diameter of 40 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is Rs. 12 per m2. What will be the cost of painting all these cones. (Use π=3.14 and = 1.02).