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Lê Quốc Trần Anh Coordinator

18/03/2018 at 07:31
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A certain sphere has a volume that is numerically equal to three times its surface area. What is the radius of this sphere?




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    Alone 18/03/2018 at 08:20

    We have:\(V_{hinhcau}=3S_{hinhcau}\)

    \(\Rightarrow\dfrac{4}{3}.\pi.r^3=3.4.\pi.r^2\) with \(r\) is the radius of this certain

    \(\Rightarrow\dfrac{r^3}{r^2}=\dfrac{3.4.\pi}{\dfrac{4}{3}.\pi}=\dfrac{3.4}{\dfrac{4}{3}}=\dfrac{3.4.3}{4}=9\)

    \(\Rightarrow r=9\)

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    ¤« 24/03/2018 at 13:15

    We have:Vhinhcau=3Shinhcau

    ⇒43.π.r3=3.4.π.r2

     with r

     is the radius of this certain

    ⇒r3r2=3.4.π43.π=3.443=3.4.34=9

    ⇒r=9


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