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The question from the image states:

"The surface area of a sphere is 5544 cm². If the radius of the sphere is doubled, then find the surface area of the new sphere (in cm²)."

Let's break this down:

1. **Surface Area of a Sphere Formula**:
   \[
   A = 4\pi r^2
   \]
   where \( A \) is the surface area and \( r \) is the radius of the sphere.

2. **Doubling the Radius**:
   If the radius is doubled, \( r \to 2r \), the new surface area will be:
   \[
   A_{\text{new}} = 4\pi (2r)^2 = 4\pi \cdot 4r^2 = 4 \times A
   \]
   This means the surface area will be **four times the original surface area** when the radius is doubled.

3. **Given Surface Area**:
   The original surface area is \( 5544 \, \text{cm}^2 \).

4. **New Surface Area**:
   \[
   A_{\text{new}} = 4 \times 5544 = 22176 \, \text{cm}^2
   \]

Therefore, the surface area of the new sphere is **22,176 cm²**, which matches option 1 in the image.

Would you like a detailed explanation of any part of this solution? Here are some related questions to consider:

1. What is the relationship between the radius and surface area of a sphere?
2. How would the volume of the sphere change if the radius is doubled?
3. What is the formula for the volume of a sphere?
4. How does the surface area of a sphere compare to that of other shapes like a cylinder?
5. How would halving the radius affect the surface area?

**Tip:** For spheres, surface area increases quadratically with the radius, while volume increases cubically.

The surface area of a sphere is 5544 cm². If the radius of the sphere is doubled, then find the surface area of the new sphere (in cm²).

Find out how to calculate the surface area of a sphere when the radius is doubled. Given the original surface area of 5544 cm², this problem demonstrates the key geometrical concepts and formulas for calculating the new surface area. Ideal for students in Grades 8-10.

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