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Question
A circus tent is cylindrical to a height of 5 m and conical above it. If its diameter is 42 m and slant height of the cone is 53 m, calculate the total area of the canvas required.
Solution
Height of the cylinder = h = 5 m
Slant height of the cone = I = 53 m
Diameter = 42 m ⇒ radius = r = 21 m
Area of the canvas used = Curved surface area of cylinder + curved surface area of cone
= `2pirh + pirl`
= `(2 xx 22/7 xx 21 xx 5) + (22/7 xx 21 xx 53)`
= 660 + 3498
= 4158 m2
Area of the canvas required = 4158 m2
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