Find the Area of the Surface Over the Given Region

question 21

Multiple Choice

Find the area of the surface over the given region. Use a computer algebra system to verify your results. The sphere, $\overrightarrow { \mathbf { r } } ( u , v ) = 10 \sin u \cos v \hat { \mathbf { i } } + 10 \sin u \sin v \hat { \mathbf { j } } + 10 \cos u \hat { \mathbf { k } } , \quad 0 \leq u \leq \pi , 0 \leq v \leq 2 \pi$

• A) \(100 \pi\)
• B) \(400 \pi\)
• C) \(200 \pi\)
• D) \(800 \pi\)
• E) \(500 \pi\)

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