Respuesta :

Answer:

See below

Step-by-step explanation:

Find the radius

  circumference = pi d

           16 pi        = pi d

      then d = 16      radius = 8    units

area of the TWO ends  = TWO * pi (8)^2 =128 pi   units^2

Find the height

  hypotenuse = 10     one leg = radius = 8

          10^2 = 8^2 + h^2

               h = 6 units

lateral area =   circumference * height

                    =   16 pi * 6 = 96 pi    units^2

total area is then   128 pi + 96 pi = 224 pi  units^2