Step-by-step explanation:
The radius of a cylinder, r = 13 feet
Height of the cylinder, h = 28 feet
The circumference of the cylinder is given by :
[tex]C=2\pi r\\\\=2\pi \times 13\\\\=81.68\ ft\\\\C=82\ ft[/tex]
The area of one base is given by :
[tex]A=\pi r^2\\\\=\pi \times 13^2\\\\=530.92\ ft^2\\\\=531\ ft^2[/tex]
The lateral area of the cylinder is given by :
[tex]A=2\pi r h\\\\A=2\pi\times 13\times 28\\\\A=2287.07\ ft^2[/tex]
Total surface of the cylinder is given by :
[tex]A=2\pi r h+2\pi r^2\\\\=2287.07+2\pi \times (13)^2\\\\=3348.92\ ft^2[/tex]
The total surface area of the cylinder is not matched with the given data. Hence, option (4) is not correct.
