Answer:

To find the radius of the base, we need to rearrange the formula for volume to solve for r.

v = \pi {r}^{2} h

We can divide both sides of the equation by \pi h to isolate the radius term:

\frac{v}{\pi h} = {r}^{2}

Then, we can take the square root of both sides of the equation to solve for r:

r = \sqrt{\frac{v}{\pi h}}

Substituting the given values, we get:

r = \sqrt{\frac{300\text{ cm}^3}{\pi(2\text{ cm})}} = \sqrt{\frac{300}{2\pi}} \approx 4.56 \text{ cm}

This is the radius of the base of the container