Evaluate $\iint_{S} f(x, y, z) d S$ , Where $f(x,y,z)= {x^2}+{y^2}+{z^2}$

question 73

Multiple Choice

Evaluate $\iint_{S} f(x, y, z) d S$ , Where $f(x,y,z) = {x^2}+{y^2}+{z^2}$ and S is given by $z=x+y, x^{2}+y^{2} \leq 100$

• A) 10,000
• B) \(10,000 \pi\)
• C) \(10,000 \sqrt { 3 } \pi\)
• D) \(10,000 \sqrt { 2 } \pi\)
• E) \(10,000 \sqrt { 3 }\)

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