This question based cone and cylinder surface area. To find answer we need cone and cylinder surface area formulas. This question number 11 rom RS Aggarwal book, exercise number 17A.
Deepak BoraNewbie
A circus tent is cylindrical to a height of 3 m and conical above it. If its base radius is 52.5 m and the slant height of the conical portion is 53 m, find the area of canvas needed to make the tent.
Share
Radius of the cylinder = 52.5 m
Radius of the base of the cone = 52.5 m
Slant height (l) of the cone = 53 m
Height of the cylinder (h) = 3 m
Curved surface area of the cylindrical portion = 2πrh
= 2 * 22/7 * 52.5 * 3
= 990 m²
Curved surface area of the conical portion = πrl
= 22/77 * 52. 5 * 53
= 8745 m²
Thus,
The total area of canvas required for making the tent = (8745 +990) m²
The total area of canvas required for making the tent = 9735 m²