Problema Solution
A manufacturing firm wants to package its product in a cylindrical container 2 feet high with surface area 16πft2. what should the radius of the circular top and bottom be?
Answer provided by our tutors
let
r = the radius of the of the circular top, r>0
h = 2 ft the height
A = 16 pi ft^2
the area of a cylinder is:
A = r^2 pi + 2r pi*h
A = pi (r^2 + 2r*h)
pi (r^2 + 2r*2) = 16 pi divide both sides by pi
r^2 + 2r*2 = 16
by solving we find:
r = 2.47 ft
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the radius is 2.47 ft.