Respuesta :
Answer:
The radius of a sphere with a volume of 572 cm^3 is 5.15 cm
Step-by-step explanation:
We need to find the radius of a sphere whose volume is: 572 cm^3
The formula used will be: [tex]Volume=\frac{4}{3} \pi r^3[/tex]
Putting value of Volume =572 and π=3.14 we can find radius (r) of a sphere.
[tex]Volume=\frac{4}{3} \pi r^3\\572= \frac{4}{3}*3.14*r^3\\572=4.187*r^3\\r^3=\frac{572}{4.187}\\r^3=136.613\\Taking \ cube \ root \ on \ both \ sides:\\\sqrt[3]{r} =\sqrt[3]{136.613} \\r=5.15 \ cm[/tex]
So, the radius of a sphere with a volume of 572 cm^3 is 5.15 cm