A metallic hemisphere is melted and recast in the shape of a cone with the same base radius R as that of the hemisphere. If `H` is the height of the cone, then write the value of `H//Rdot`

Explanation

To solve the problem, we need to equate the volume of the metallic hemisphere to the volume of the cone formed after melting it. Here’s the step-by-step solution:

### Step 1: Write the formula for the volume of a hemisphere.
The volume \( V \) of a hemisphere with radius \( R \) is given by the formula:
\[ V_{\text{hemisphere}} = \frac{2}{3} \pi R^3 \]

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