A cylinder has a radius of 40 ft and a height of 17 ft. What is the exact surface area of the cylinder?

1360π ft2

3200π ft2

4560π ft2

680π ft2

we know that

surface area of the cylinder=2*{area of the base}+perimeter of base*height

area of the base=pi*r²

r=40 ft

Area of base=pi*40²

Area of the base=1600*pi ft²

Perimeter of the base=2*pi*r

Perimeter of the base=2*pi*40

Perimeter of the base=80*pi ft

surface area of the cylinder=2*1600*pi+80*pi*17

surface area=4560*pi ft²

therefore

the answer is the option

4560π ft2