First, the measures we have are:
The diameter of the cylinder is:
we will call the diameter "d" for reference:
And we also have the height of the cylinder:
We will call this "h":
The steps to find the surface area:
Step 1. The surface area of a cylinder is formed of two circles and one rectangle as shown in the following diagram:
Where h is the height, h=19in
r is the radius, defines as half of the diameter:
And c is the circumference of the circle, defined as follows:
Where pi is a constant: pi=3.1416
so we find the value of the circumference c:
Step 2. Calculate the area of the two circles of the area.
The formula to calculate the area of a circle is:
We substitute our values:
And solving the operations:
And we need to multiply this are by 2 because there are two identical circles:
Step 3. Calculate the area of the rectangle.
To calculate that area we multiply the h by c:
Substituting our h and c values:
Step 4. Add the area of the circles and the rectangle to find the total surface area:
The closest value out of the options is: 228.16
Answer: 228.16