Answer
True
Work Step by Step
$\int\int_D\sqrt {4+x^2+y^2}dA$
The volume of the surface $x^2+y^2+z^2=4$
Above the $xy$-plane $\frac{1}{2}(x^2+y^2+z^2=4)$
$=\frac{1}{2}.\frac{4}{3}(2)^3\pi$
$=\frac{1}{2}.\frac{4}{3}8\pi$
$=\frac{4}{3}4\pi$
$\frac{1}{2}(x^2+y^2+z^2=4)=\frac{16}{3}\pi$
