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The volume of a sphere is 5,572.45 ft To the nearest foot what is the radius of the​ sphere? Use 3.14 for .

Sagot :

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]

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