Question

0 sferă are volumul egal cu 288 pi cm^3. Raza sferei este egală cu​:

Answer 1

Răspuns:

Explicație pas cu pas:

V=4πR³/3=288π cm³     ⇒4R³=3·288   ⇒R³=3·72=8×27   ⇒R=2·3 cm

⇒R=6 cm

Answer 2

 

$\displaystyle\bf\\V_{sfera}=\frac{4\pi R^3}{3}\\\\\frac{4\pi R^3}{3}=288\pi~cm^3\\\\R~(Raza)~este~necunoscuta.\\\\\frac{4\pi R^3}{3}=288\pi~cm^3\\\\4\pi R^3=3\times288 \pi~\Big|:\pi\\\\4R^3=3\times288\\\\R^3=\frac{3\times288}{4}\\\\R^3=3\times72\\\\R^3=216\\\\R=\sqrt[\b3]{216}\\\\ \boxed{\bf R=6~cm}$