The internal and external radii of a spherical shell are 3cm and 5cm respectively. It is melted and recast into a solid cylinder of diameter 14cm, find the height of the cylinder. Also find the total surface area of the cylinder.
(Take `pi=22/7`)

Explanation

To solve the problem, we need to find the height of the cylinder formed by melting a spherical shell and also calculate the total surface area of the cylinder. Let's break this down step by step.

### Step 1: Calculate the Volume of the Spherical Shell
The volume \( V_s \) of a spherical shell is given by the formula:
\[ V_s = \frac{4}{3} \pi (R^3 - r^3) \]
where \( R \) is the outer radius and \( r \) is the inner radius.
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