Question

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

Answer 1

We have a sphere with diameter D = 17 m.

The equation for the volume of a sphere is:

`V=(4\pi)/(3)r^3`

Approximating pi with 3.14 and r=D/2, we have:

`\begin{gathered} V=(4\pi)/(3)r^3=(4\pi)/(3)((D)/(2))^3 \\ V\approx(4\cdot3.14)/(3)\cdot((17)/(2))^3 \\ V\approx4.19\cdot8.5^3 \\ V\approx4.19\cdot614.125 \\ V\approx2573.18^{} \end{gathered}`

Answer: the volume of the sphere is approximately 2573.18 cubic meters.