Question

O sfera, cu volumul 2304π cm^3, are aria egală cu:​

Answer 1

Răspuns:

576π

Explicație pas cu pas:

4πR³/3=2304π

R³/3=576

R³=3*576=3*9*64=3³*4³=12³

R=12

A=4πR²=4*144π=576π

Answer 2

$\it \mathcal{V}=\dfrac{4\pi R^3}{3}=2304\pi|_{:\4pi} \Rightarrow \dfrac{R^3}{3}=576|_{\cdot3}\Rightarrow R^3=1728=12^3\Rightarrow R=12cm\\ \\ \\ \mathcal{A}_{sfer\breve a}=4\pi R^2=4\pi\cdot12^2=4\pi\cdot144=576\pi\ cm^2$