Question

find the radius of a sphere with a volume of 589 cubic centimeters

Answer 1

volume of sphere  =  $\pi$r³

if volume of this sphere =  589 cm³

then  πr³ = 589 cm³
            r³  =  $\frac{589cm^{3} }{ \pi }$
              
            ∛r³     =   ∛187.485 cm³

∴            r       =  5.72 cm

Answer 2

Answer:   The radius of a sphere is 5.20 cm.

Step-by-step explanation:

Volume of sphere = $\dfrac{4}{3}\pi r^3$ , where r = radius of sphere.

Given : Volume of sphere : 589 cubic centimeters

As per formula , we have

$\dfrac{4}{3}\pi r^3=589 \\\\\Rightarrow\ r^3=\dfrac{589\times3}{4\pi}=\dfrac{441.75}{\pi}=\dfrac{441.75}{3.14}\\\\\Rightarrow\ r^3=140.684713376\approx140.68\\\\\Rigghtarrow\ r=\sqrt[3]{140.68} \approx5.20$

Thus , the radius of a sphere is 5.20 cm.