A metal ball having a diameter of `0.4` m is heated from `273` to `360 K.` If the coefficient of areal expansion of the material of the ball is `0.000034 K^(-1)`, then determine the increase in surface area of the ball.

Explanation

To determine the increase in surface area of the metal ball when it is heated, we can follow these steps:

### Step 1: Calculate the initial surface area of the ball (A₀)
The surface area (A) of a sphere is given by the formula:
\[ A = 4\pi r^2 \]
where \( r \) is the radius of the sphere.
...