Find what length of canvas,1.5 m in width is required to make a conical tent 48 m in diameter and 7 m in heigh ? Given that 10% of canvas is used in stitchings. Also find cost of canvas at a rate of Rs.24 per meter.
width of canvas =1.5m
Diameter of tent to bemade =48m
⇒ Radius =24m
and height 7m
⇒ Slant height (l)=√h2+r2=√72+242=25m
Now curved surface area =πrl
=227×24×25=1885.71m2
But only 1% allowance for folds and stiching
Hence new areas =1885.71m2+10100×1885.71m2
=2074.28m2
Width of canvas =1.5m
Length of canvas =Areawidth=2074.28m21.5m
=1382.85m
Now cost of 1m=Rs.24
Total cost =Rs.24×1382.85=Rs.33188.4