Problema Solution
A Manufacturing firm wants to package its product in a cylindrical container 2 ft high with surface area 6II ft^2. What should the radius of the circular top and bottom be
Answer provided by our tutors
total surface area of the cylinder is the sum of the top and bottom surface areas added to the surface area of the side
we interpret "6II" to be 611, or 'six hundred and eleven'
let 'T' represent total surface area in ft^3, 'PI' is the numeric constance approximated by 3.14, 'r' is the radius of the cylinder in ft and 'h' is the height of the cylinder in ft, then:
T = 2*PI*r^2 + 2*PI*r*h
611 = 2*PI*r^2 + 4*PI*r
solving for 'r' we have a positive value of r=8.9117
the radius of the cylinder should be approximately 8.9 feet