Question

bonus 23. (8 pts) the volume of a sphere is given by the equation $v=\frac{4}{3}pi r^{3}$ $pi = 3.1416$, and r is the radius of the sphere. if a spheres radius is 3.1 m, what is its volume in liters? (hint: 1 ml = 1 cm³)

Explanation:

Step1: Calculate the volume of the sphere

The formula for the volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Given \(r = 3.1\space m\) and \(\pi=3.1416\).

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Step2: Convert the volume from \(m^{3}\) to liters

We know that \(1\space m^{3}=1000\space L\).
So, \(V = 124.807\times1000=124807\space L\)

Answer:

\(124807\space L\)