the volume of the sphere is approximately ___ cubic meters. use pi = 3.14 and round your answer to the nearest hundredth.

We have a sphere with diameter D = 17 m.
The equation for the volume of a sphere is:
[tex]V=\frac{4\pi}{3}r^3[/tex]Approximating pi with 3.14 and r=D/2, we have:
[tex]\begin{gathered} V=\frac{4\pi}{3}r^3=\frac{4\pi}{3}(\frac{D}{2})^3 \\ V\approx\frac{4\cdot3.14}{3}\cdot(\frac{17}{2})^3 \\ V\approx4.19\cdot8.5^3 \\ V\approx4.19\cdot614.125 \\ V\approx2573.18^{} \end{gathered}[/tex]Answer: the volume of the sphere is approximately 2573.18 cubic meters.