Hey there! I'm happy to help!
First, let's find the area of the two circles that make up the top and bottom of the cylinder. To find the area of a circle, you square the radius multiply it by pi (we will use 3.14)
15.8²=249.64
249.64×3.14=783.8696
Since there are two of these circles we multiply this by 2.
783.8696×2=1567.7392
Now, for the rectangle. To make a cylinder, you take a rectangle and wrap it around the top and bottom circles. One side of this rectangle is the height of the cylinder, and the other is the circumference of the circle (one side wraps all the way around the circle, which is the circumference).
The circumference is the diameter multiplied by 3.14 (pi). The diameter is twice the radius.
15.8×2=31.6
31.6×3.14=99.224
We multiply this by the height.
99.224×4.4=436.5856
Now, we add the areas of the circles and the rectangle.
1567.7392+436.5856=2004.3 (rounded to nearest tenth)
This is closest to D. 2005.3 ft². It is probably a bit off because I used 3.14 instead of actual pi.
Have a wonderful day! :D
