Find the rate of change of total surface are of a right circular cone w.r.t. radius . (Cone angle remain constant ), when radius=5 cm.

Explanation

To find the rate of change of the total surface area of a right circular cone with respect to its radius when the cone angle remains constant, we can follow these steps:

### Step 1: Understand the formula for the surface area of a cone
The total surface area \( A \) of a right circular cone is given by the formula:
\[ A = \pi r^2 + \pi r L \]
where \( r \) is the radius and \( L \) is the slant height.
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