Select the correct answer.The diameter of a sphere measures 10.4 inches. What is the surface area of the sphere?A 216.32 in²B. 108.167 in²C. 54.08 in²D. 432.647 in²

Answer :

In general, the surface area of a sphere is given by the formula below

[tex]\begin{gathered} A_{sphere}=4\pi r^2 \\ r\rightarrow\text{ radius} \end{gathered}[/tex]

Therefore, in our case,

[tex]\begin{gathered} r=\frac{diameter}{2}=\frac{10.4}{2}=5.2 \\ \Rightarrow r=5.2 \end{gathered}[/tex]

Then,

[tex]A_{sphere}=4\pi(5.2)^2=108.16\pi[/tex]

Therefore, the answer is 108.16pi in^2. Option B.

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