find the volume of this sphere. sphere formulas sa = 4πr² v = $\frac{4}{3}$πr³ v = $\frac{?π}{3}$ ft³

Explanation:

Step1: Identify the radius value

The radius $r = 4$ ft.

Step2: Substitute into volume formula

The volume formula of a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 4$ into it: $V=\frac{4}{3}\pi\times4^{3}$.

Step3: Calculate $4^{3}$

$4^{3}=4\times4\times4 = 64$. So $V=\frac{4}{3}\pi\times64=\frac{256}{3}\pi$ ft³.

Answer:

$256$