Answer: [tex]11\ ft[/tex]
Step-by-step explanation:
Given
The volume of a sphere is [tex]5572.45\ ft^3[/tex]
The volume of sphere with radius r is given by
[tex]\Rightarrow \dfrac{4\pi r^3}{3}[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow 5572.45=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow r^3=\dfrac{5572.45\times 3}{4\pi }\\\\\Rightarrow r^3=1330.992\\\\\Rightarrow r=10.97\approx 11\ ft[/tex]
Therefore, the radius is [tex]11\ ft[/tex]
