Curved surface area of a cone is `308\ c m^2` and its slant height is 14cm. Find the radius of the base and total surface area of the cone.

Explanation

To solve the problem step by step, we will first find the radius of the cone using the given curved surface area and slant height, and then we will calculate the total surface area of the cone.

### Step 1: Write down the formula for the curved surface area of a cone.
The formula for the curved surface area (CSA) of a cone is given by:
\[ \text{CSA} = \pi r l \]
where \( r \) is the radius of the base and \( l \) is the slant height.
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