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.

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# 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.

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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