The formula for the surface area of a cylinder is SA = 2B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the cylinder.
We are not given the height of the cylinder, but we are given its radius, which is 4 inches. We can use the radius to find the perimeter and area of the base.
The perimeter of the base is the circumference of the circle with radius 4 inches, which is:
P = 2πr = 2(3.14)(4) = 25.12 inches
The area of the base is the area of the circle with radius 4 inches, which is:
B = πr^2 = 3.14(4^2) = 50.24 square inches
Since we don't know the height of the cylinder, we can leave h as a variable in the formula. Therefore, the surface area of the cylinder is:
SA = 2B + Ph = 2(50.24) + 25.12h = 100.48 + 25.12h
To round the answer to the nearest hundredth, we need to know the value of h. If we don't have that information, we cannot calculate the surface area of the cylinder.