Upgrade to access all content for this subject

Let the surface $S$ be part of the paraboloid $z=6-x^2-y^2$ above the $xy$-plane.

Find the surface area of $S$.

$\cfrac{62\pi}{3}$

$24\pi$

$25\ln \pi$

$\cfrac{5\pi\sqrt{2}}{3}$

$16\sqrt{3}$