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Find the Volume of the Solid Under the Surface z=x2+y2z = x ^ { 2 } + y ^ { 2 }

Question 166

Short Answer

Find the volume of the solid under the surface z=x2+y2z = x ^ { 2 } + y ^ { 2 } and lying above the region {(x,y)∣0≤x≤1,x2≤y≤x}\left\{ ( x , y ) \mid 0 \leq x \leq 1 , x ^ { 2 } \leq y \leq \sqrt { x } \right\} .

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