The formula for the surface area of a sphere is:

$\text{Surface Area} = 4m r^2$

Given that $r = 7$ cm, we substitute this value into the formula:

$\text{Surface Area} = 4m (7)^2$

$= 4m \times 49$

$= 196m$

Since the units of surface area are always in square centimeters, the final answer is:

$\mathbf{196m \text{ cm}^2}$

Would you like a more detailed explanation or have any questions?

Here are 5 related questions for practice:

1. Find the surface area of a sphere with radius 10 cm in terms of $m$.
2. If the surface area of a sphere is $324m$ cm², what is its radius?
3. Derive the formula for the surface area of a sphere using calculus.
4. How does the surface area of a sphere change if the radius is doubled?
5. A hemisphere has radius 7 cm. What is its total surface area in terms of $m$?

Tip: The surface area of a sphere grows quadratically with the radius, meaning if the radius doubles, the surface area becomes four times larger!