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4 votes
4 votes
Find the diameter of a sphere with a surface area of 196π square centimeters

User Xianyi Ye
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1 Answer

7 votes
7 votes


\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ SA=196\pi \end{cases}\implies \begin{array}{llll} 196\pi =4\pi r^2\implies \cfrac{196\pi }{4\pi }=r^2 \implies 49=r^2 \\\\\\ √(49)=r\implies 7=r~\hfill \underset{diameter}{\stackrel{2(7)}{14}} \end{array}

User Nick Tomlin
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