Find the Volume of the Indicated Region $z = x ^ { 2 } + y ^ { 2 }$

question 100

Multiple Choice

Find the volume of the indicated region.
-the region that lies under the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and above the triangle enclosed by the lines $x = 8 , y = 0$ , and $y = 2 x$

• A) \(\frac { 1792 } { 3 }\)
• B) 8192
• C) \(\frac { 14,336 } { 3 }\)
• D) \(\frac { 224 } { 3 }\)

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