Find what length of canvas 2 m in width is required to make a conical tent 20 m in diameter and 42 m...

Question

Find what length of canvas 2 m in width is required to make a conical tent 20 m in diameter and 42 m in slant height allowing 10 for folds and the stitching Also find the cost of the canvas at the rate of Rs 80 per metre

Accepted Answer

Solution The portion of a cone not including the base is considered as its curved surface In other words it is the portion of the cone that is visible when it is unfolded Given diameter of the conical tent d 20 m radius r d2 202 10 m Slant height l 42 m Curved surface area of the conical tent rl 2271042 22106 1320 msup2sup So the area of canvas required is 1320 msup2sup Since 10 of this area is used for folds and stitches actual cloth needed 1320 10 of 1320 1320 101001320 1320132 1452 msup2sup Width of the cloth 2m Length of the cloth Areawidth 14522 726 m Cost of canvas Rs80 per metre Total cost 80726 Rs 58080 Hence the total cost of the canvas is Rs 58080

ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration