Answer:
See below
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