Answer:
[tex]\large\boxed{R\approx4.78\ in}[/tex]
Step-by-step explanation:
The formula of a volume of a sphere:
[tex]V=\dfrac{4}{3}\pi R^3[/tex]
R - radius
We have the volume V = 457.3 in³. Substitute:
[tex]\dfrac{4}{3}\pi R^3=457.3\qquad\text{multiply both sides by 3}\\\\4\pi R^3=1371.9\qquad\text{divide both sides by 4}\\\\\pi R^3=342.975\qquad\text{divide both sides by}\ \pi\\\\R^3=\dfrac{342.975}{\pi}\qquad/\pi\approx3.14/\\\\R^3\approx\dfrac{342.975}{3.14}\\\\R^3\approx109.2277\to R\approx\sqrt{109.2277}\\\\R\approx4.78\ in[/tex]
