What is the total surface area of a sphere with radius r=6 cm?

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!

Learn how to calculate the total surface area of a sphere with radius 6 cm using the formula A = 4πr². Understand how geometry concepts apply to spheres and explore related problems. This solution is ideal for students in Grades 8-10.

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