The radius and height of a solid right circular cone are in the ratio of 5:12 .If its volume is 314 `cm^(3)` Find its total surface area .`[Take pi =3.14]`

Explanation

To find the total surface area of a solid right circular cone given the volume and the ratio of its radius and height, we can follow these steps:

### Step 1: Understand the Ratio of Radius and Height
The radius (r) and height (h) of the cone are in the ratio of 5:12. This can be expressed as:
\[ r:h = 5:12 \]
Let \( r = 5x \) and \( h = 12x \) for some value \( x \).
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