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Question

A circus tent is cylindrical to a height of $$8$$ m surmounted by a conical part. If total height of the tent is $$13$$ m and the diameter of its base is $$24$$ m; calculate area of canvas, required to make this tent allowing $$10\%$$ of the canvas used for folds and stitching.

Solution
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Area of canvas used in stitching = total area of canvas

Total area of canvas $$= 7656/7$$ + total area of canvas/10

Total area of canvas – Total area of canvas/10$$= 7656/10$$

Total area of canvas$$(1 – \dfrac1{10}) = \dfrac{7656}7$$

Total area of canvas$$\times \dfrac9{10} = \dfrac{7656}7$$

Total area of canvas$$= \dfrac{7656}7 \times \dfrac{10}9 = \dfrac{76560}{63}$$

Therefore, the total area of canvas$$= 1215.23\,m^2$$


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