Solve the problem.
-What domain D in space minimizes the value of the integral
$$\iiint \left( 1 - \frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 64 } - \frac { z ^ { 2 } } { 64 } \right) d V ?$$
A) $\mathrm { D } =$ the boundary and interior of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 64$.
B) $D =$ the boundary of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 64$.
C) $\mathrm { D } = 23$
D) No such maximum domain exists.

Question

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The Answer of Solve the problem.
-What domain D in space minimizes the value of the integral
$$\iiint \left( 1 - \frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 64 } - \frac { z ^ { 2 } } { 64 } \right) d V ?$$
A) $\mathrm { D } =$ the boundary and interior of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 64$.
B) $D =$ the boundary of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 64$.
C) $\mathrm { D } = 23$
D) No such maximum domain exists.

Solve the Problem ∭(1−x264−y264−z264)dV?\iiint \left( 1 - \frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 64 } - \frac { z ^ { 2 } } { 64 } \right) d V ?∭(1−64x2​−64y2​−64z2​)dV?

Solve the Problem $\iiint \left( 1 - \frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 64 } - \frac { z ^ { 2 } } { 64 } \right) d V ?$