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How many square yards of canvas will be required to make a conical tent 15 feet high and 18 feet in diameter if 10 percent of the material is wasted?
Assuming that a groundsheet is not to be made from the canvas, then the surface area (A) of a cone itself is A = π rs where r is the base radius and s is the slant height.
Using Pythagoras' Theorem : s2 = h2 + r2= 152 + 92= 225 + 81 = 306 : Therefore s = 17.493 (3dp)
Area A = π x 9 x 17.493 = 494.599 sq feet
Allowing for 10% wastage of the original material. The original area of canvas required is 494.599 x 100/90 = 549.554 sq feet.
As the answer is required in square yards then 549.554 sq feet = 549.544 ÷ 9 = 61.06 sq yards.
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