Question

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 .

Answer 1

Answer: $11\ ft$

Step-by-step explanation:

Given

The volume of a sphere is $5572.45\ ft^3$

The volume of sphere with radius r is given by

$\Rightarrow \dfrac{4\pi r^3}{3}$

Insert the values

$\Rightarrow V=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow 5572.45=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow r^3=\dfrac{5572.45\times 3}{4\pi }\\\\\Rightarrow r^3=1330.992\\\\\Rightarrow r=10.97\approx 11\ ft$

Therefore, the radius is $11\ ft$