Question

(volume lc)
the radius of a sphere is 6 feet. what is the volume of the sphere?
864π ft³
288π ft³
144π ft³
48π ft³

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume \(V\) of a sphere is \(V=\frac{4}{3}\pi r^{3}\), where \(r\) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given \(r = 6\) feet. Substitute \(r=6\) into \(V=\frac{4}{3}\pi r^{3}\):

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Step3: Simplify the expression

\(\frac{4}{3}\times216 = 4\times72=288\). So \(V = 288\pi\) \(ft^{3}\)

Answer:

\(288\pi\space ft^{3}\) (the second option)