[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
we know that volume of a sphere is :
- [tex] \boxed{ \boxed{ \frac{4}{3} \pi {r}^{3} }}[/tex]
so, let's solve for radius (r) :
- [tex] \dfrac{4}{3} \pi {r}^{3} = 288 \pi[/tex]
- [tex]r {}^{3} = 288 \pi \times \dfrac{3}{4 \pi} [/tex]
- [tex]r {}^{3} = 72 \times 3[/tex]
- [tex]r {}^{3} = 216[/tex]
- [tex]r = \sqrt[3]{216} [/tex]
value of radius (r) = 6 units
