Find the Mass of the Solid That Occupies the Region $z = x ^ { 2 } + y ^ { 2 }$

question 210

Multiple Choice

Find the mass of the solid that occupies the region bounded by the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and the plane z = 1 and has density function $\rho ( x , y , z ) = \sqrt { x ^ { 2 } + y ^ { 2 } }$ .

• A) \(\frac { \pi } { 4 }\)
• B) \(\frac { \pi } { 3 }\)
• C) \(\frac { \pi } { 2 }\)
• D) \(\frac { 2 \pi } { 3 }\)
• E) \(\frac { 3 \pi } { 4 }\)
• F)\(\pi\)
• G) \(\frac { 4 \pi } { 15 }\)
• H)2\(\pi\)

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