To answer this question, we need to know the formula for the volume of a sphere. This formula is as follows:
[tex]V_{\text{sphere}}=\frac{4}{3}\cdot\pi\cdot r^3[/tex]
From the figure, we have that the radius, r, is equal to 10 ft. Then, we can, now, calculate the volume of this sphere:
[tex]V_{\text{sphere}}=\frac{4}{3}\cdot\pi\cdot(10ft)^3=\frac{4}{3}\cdot\pi\cdot1000ft^3[/tex]
Then, we have:
[tex]V_{\text{sphere}}=\frac{4\cdot1000ft^3}{3}\cdot\pi=\frac{4000ft^3}{3}\cdot\pi\Rightarrow V_{sphere}=1333.33333333\pi ft^3[/tex]
Now, if we rounded this value to the nearest cubic foot, we have that the volume is equal to:
[tex]V_{\text{sphere}}=1333\pi ft^3[/tex]
(V = 1333pi ft^3)
