$$\text { Find the area of the part of paraboloid } x = y ^ { 2 } + z ^ { 2 } \text { that lies inside the cylinder } y ^ { 2 } + z ^ { 2 } = 64 \text {. }$$

Name: \[\text { Find the area of the part of paraboloid } x = y ^ { 2 } + z ^ { 2 } \text { that lies inside the cylinder } y ^ { 2 } + z ^ { 2 } = 64 \text {. }\]
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The Answer of $$\text { Find the area of the part of paraboloid } x = y ^ { 2 } + z ^ { 2 } \text { that lies inside the cylinder } y ^ { 2 } + z ^ { 2 } = 64 \text {. }$$