Question

How do I find the volume of a sphere with a diameter of 5 m?

Answer 1

The formula to find the volume of a sphere is

`\begin{gathered} V=(4)/(3)\pi r^3 \\ \text{ Where V is the volume and} \\ \text{r is the radius of the sphere} \end{gathered}`

So, in this case, you have

`\begin{gathered} r=2.5m \\ \text{ Because} \\ \text{radius }=\frac{\text{ diameter}}{2} \\ \text{radius }=(5m)/(2) \\ \text{radius }=2.5m \end{gathered}`
`\begin{gathered} V=(4)/(3)\pi r^3 \\ V=(4)/(3)\pi(2.5m)^3 \\ V=(4)/(3)\cdot15.625\pi m^3 \\ V=20.83\pi m^3 \\ V\approx65.45m^3 \end{gathered}`

Therefore, the volume of a sphere with a diameter of 5m is 65.45 cubic meters.