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Multivariable Calculus

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Volume of Tetrahedron

MVCALC-LLNJRB

Let $D\subset \mathbb{R}^3$ be a bounded domain given by:

$$D=\{(x,y,z): x+y+z\leq 1, x\geq 0, y\geq 0, z\geq 0\}$$

Find the volume of $D$.

A

$\cfrac{1}{2}$

B

$\cfrac{1}{3}$

C

$\cfrac{1}{6}$

D

$2$

E

$3\pi$