Answer:
138.16 square feet
Step-by-step explanation:
The surface area of the cylinder consists of one rectangle and two circles.
1. The radius of the circle is 4 ft, then the area of the circle is
[tex]A_{circle}=\pi r^2 =\pi \cdot 4^2 =16\pi \ ft^2[/tex]
2. The width of the rectangle is 1.5 ft, the length of the rectangle is the circumference of the circle.
Find the circumference:
[tex]C=2\pi r=2\pi \cdot 4=8\pi \ ft[/tex]
Hence,
[tex]A_{rectangle}=1.5\cdot 8\pi =12\pi \ ft^2[/tex]
3. The surface area of the cylinder is
[tex]SA=2A_{circle}+A_{rectangle}=\\ \\=2\cdot 16\pi +12\pi =32\pi +12\pi =44\pi \approx \\ \\\approx 44\cdot 3.14=138.16\ ft^2[/tex]
