Question 53

A circus tent is cylindrical to a height of 3 meters and conical above it. If the radius of the base is 52.5 m and the slant height of the cone is 52 m,then the total area of the canvas required to make it is:

Solution

Total area = Curved surface area of cylinder + Curved surface area of cone.

= $$2\pi rh+\pi rl$$

= $$\pi r(2h+l)$$

= $$52.5\pi\times[(2\times3)+52]$$

= $$52.5\pi\times58$$

= $$3045\pi$$ $$m^2$$

=> Ans - (B)

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