A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter `l `of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

Explanation

To determine the surface area of the remaining solid after a hemispherical depression is cut out from one face of a cubical wooden block, we can follow these steps:

### Step 1: Understand the dimensions
Let the edge of the cube be \( l \). Since the diameter of the hemisphere is equal to the edge of the cube, the radius \( r \) of the hemisphere will be:
\[ r = \frac{l}{2} \]

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