A cylinder has radius 4 and height 9. Which value is closest to its total surface area?

The total surface area of a closed cylinder includes two circular bases and the curved side: $2\pi r^2+2\pi rh=2\pi(16)+2\pi(4)(9)=32\pi+72\pi=104\pi\approx326.7$, choice D. Choice A ($226$) is the lateral surface only, $72\pi$, and leaves out both bases. Choice B ($276$) is $88\pi$, which includes only one base. Choice C ($452$) is $144\pi$, which adds more area than the cylinder has. The question asks for the total surface, so count both bases. Sketching the net of a cylinder helps.