A cylinder has a radius of 30 ft and a height of 19 ft. What is the exact surface area of the cylinder?
\(A=2\pi r(r+h)\\ A=2\pi\cdot30\cdot(30+19)\\ A=60\pi\cdot49\\ A=2940\pi\hbox{ ft}^2\)
\(SA=2(pi)rh+2(pi)r^2\)
\(SA=2(pi)(30)(19)+2(pi)(30^2)\)
\(SA=2(pi)(30)(19)+2(pi)(900)\)
\(SA=3581.3+5654.7\)
\(SA=9236\)
9236 square feet