Problema Solution
A cylindrical tower 30 feet in diameter has a conical roof the length of whose eaves is two feet. An element of the roof is inclined 45 degrees to the horizontal.Find the weather surface.
Answer provided by our tutors
this problem requires a good drawing. since we still dont have an option to draw i will provide the results only:
the radius of the circular base of the cone is: r = 15 + 2^0.5
to get this result we use the sin(45) and cos(45) as well as similar triangles
the circumference of the base of the cone is: C = 2*pi*(15 + 2^0.5)
the slant height is: s = 15*(2^0.5) + 2
the weather surface is: A = (1/2)s*C
A = (1/2)*(15*(2^0.5) + 2)(2*pi*(15 + 2^0.5))
A = (1/2)*(15*(2^0.5) + 2)(2*3.14*(15 + 2^0.5))
A = 1194.42314 ft^2