Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.5 The Divergence Theorem, #19 · Multivariable Calculus · Green, Stokes & divergence

(d) … solid cone

Describe the closed surface $S$ and outward normal $n$ :

(a) $V =$ hollow ball $1 \leq x^{2} + y^{2} + z^{2} \leq 9$ .

(b) $V =$ solid cylinder $x^{2} + y^{2} \leq 1, ∣ z ∣ \leq 7$ .

(c) $V =$ pyramid $x \geq 0, y \geq 0, z \geq 0, x + 2 y + 3 z \leq 1$ .

(d) $V =$ solid cone $x^{2} + y^{2} \leq z^{2} \leq 1$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.5 The Divergence Theorem, #19

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