Calculate the Area of the Surface S $S$ Is the Lower Portion of the Sphere

question 86

Multiple Choice

Calculate the area of the surface S.
- $S$ is the lower portion of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 49$ cut by the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$ .

• A) \(49 \left( \frac { \sqrt { 2 } } { 2 } + 1 \right)\)
• B) \(14 \left( \frac { \sqrt { 2 } } { 2 } + 1 \right) \pi\)
• C) \(98 \left( \frac { \sqrt { 2 } } { 2 } + 1 \right) \pi\)
• D) \(49 \left( \frac { \sqrt { 2 } } { 2 } + 1 \right) \pi\)

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