The total surface area $A$ of a sphere is given by the formula:

$A = 4\pi r^2$

Where:

• $r$ is the radius of the sphere.

Given that $r = 6 \, \text{cm}$, we can substitute this value into the formula:

$A = 4\pi (6)^2 = 4\pi (36) = 144\pi \, \text{cm}^2$

Thus, the total surface area is:

$A = 144\pi \, \text{cm}^2 \approx 452.39 \, \text{cm}^2$

Would you like more details on the steps or have any questions?

Here are 5 related questions you might find helpful:

1. What is the volume of a sphere with the same radius?
2. How does the surface area change if the radius is doubled?
3. How would you calculate the surface area of half a sphere?
4. What is the surface area of a sphere with radius $r = 10 \, \text{cm}$?
5. How do surface area and volume formulas differ for spheres?

Tip: Remember that the surface area of a sphere depends on the square of the radius, so small changes in the radius can cause significant changes in the surface area!