Explanation:

- To determine how many smaller spheres can be made, calculate the volume of both the original and smaller spheres.

- Volume of a sphere formula: $V=\frac{4}{3}\pi r^3$.

- Calculate the volume of the original sphere with radius 4 cm:

$V=\frac{4}{3}\pi (4^3)=\frac{4}{3}\pi \times 64=\frac{256}{3}\pi$.

- Calculate the volume of one smaller sphere with radius 2 cm:

$V=\frac{4}{3}\pi (2^3)=\frac{4}{3}\pi \times 8=\frac{32}{3}\pi$.

- Divide the volume of the original sphere by the volume of one smaller sphere to find the number of smaller spheres:

$\frac{\frac{256}{3}\pi }{\frac{32}{3}\pi }=8$.

Option:1 - 8 is the correct answer.

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