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julio7264

03.06.2023

Mathematics

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

we know that volume of a sphere is :

$\boxed{ \boxed{ \frac{4}{3} \pi {r}^{3} }}$

so, let's solve for radius (r) :

$\dfrac{4}{3} \pi {r}^{3} = 288 \pi$ $r {}^{3} = 288 \pi \times \dfrac{3}{4 \pi}$ $r {}^{3} = 72 \times 3$ $r {}^{3} = 216$ $r = \sqrt[3]{216}$ r = 6

value of radius (r) = 6 units

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