Question

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 1

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

`\begin{gathered} A_(sphere)=4\pi r^2 \\ r\rightarrow\text{ radius} \end{gathered}`

Therefore, in our case,

`\begin{gathered} r=(diameter)/(2)=(10.4)/(2)=5.2 \\ \Rightarrow r=5.2 \end{gathered}`

Then,

`A_(sphere)=4\pi(5.2)^2=108.16\pi`

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