MODELING WITH MATHEMATICS The radius $r$ of the base of a cone is given by the equation $r=\left(\frac{3 V}{\pi h}\right)^{1 / 2}$, where $V$ is the volume of the cone and $h$ is the height of the cone. Find the radius of the paper cup to the nearest inch. Use 3.14 for $\pi$. The radius is about $\square$ inch(es).
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Step 1
I'll solve this step by step using the given equation and the LaTeX formatting guidelines:

Step 2
: Identify the given information

- Equation for radius: $$r = \left(\frac{3V}{\pi h}\right)^{1/2}
- Use \pi = 3.14 - We need to find the radius of the paper cup

Final Answer

The radius of the paper cup is 1 inch.