Jika volume sebuah bola 288Π cm³, diameter bola adalah... cm
A.6
B.8
C.10
D.12
A.6
B.8
C.10
D.12
MicoArrafi
![$\begin{align} d&=2\sqrt[3]{\frac{3V_{bola}}{4\pi}}\\&=2\sqrt[3]{\frac{3\times288\pi\ \text{cm}^3}{4\pi}}\\&=2\sqrt[3]{216\ \text{cm}^3}\\&=2\times6\ \text{cm}\\&=\boxed{12\ $cm$} \end](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D+d%26%3D2%5Csqrt%5B3%5D%7B%5Cfrac%7B3V_%7Bbola%7D%7D%7B4%5Cpi%7D%7D%5C%5C%26%3D2%5Csqrt%5B3%5D%7B%5Cfrac%7B3%5Ctimes288%5Cpi%5C+%5Ctext%7Bcm%7D%5E3%7D%7B4%5Cpi%7D%7D%5C%5C%26%3D2%5Csqrt%5B3%5D%7B216%5C+%5Ctext%7Bcm%7D%5E3%7D%5C%5C%26%3D2%5Ctimes6%5C+%5Ctext%7Bcm%7D%5C%5C%26%3D%5Cboxed%7B12%5C+%24cm%24%7D+%5Cend "$\begin{align} d&=2\sqrt[3]{\frac{3V_{bola}}{4\pi}}\\&=2\sqrt[3]{\frac{3\times288\pi\ \text{cm}^3}{4\pi}}\\&=2\sqrt[3]{216\ \text{cm}^3}\\&=2\times6\ \text{cm}\\&=\boxed{12\ $cm$} \end")
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