ANSWER
7.82 cm
Step-by-step explanation
We want to find the radius of a sphere that has a volume of 2 liters.
First, let us convert the volume of the sphere to cubic centimetres.
We have that:
1 litre = 1000 cubic centimetres:
=> 2 litres = 2 * 1000 = 2000 cubic centimetres
The volume of a sphere is given as:
where r = radius
Therefore, we have that, for the given sphere:
![\begin{gathered} 2000=(4)/(3)\cdot\pi\cdot r^3 \\ \text{Multiply both sides by }(3)/(4\pi)\colon \\ 2000\cdot(3)/(4\pi)=r^3 \\ r^3=477.46 \\ \text{ Find the cube root of both sides:} \\ r=\sqrt[3]{477.46} \\ r=7.82\operatorname{cm} \end{gathered}]()
That is the radius of the sphere.