Calculate the surface area of the egg (in  μ
 m2).

The formula for calculating the surface area (SA) of a sphere is given below.
SA = 4 π
 r2
Use 3.14 as the value for  π
  .

If you need help, review these tutorials:
Calculating the Surface Area of a Sphere
Using Scientific Notation

For help with significant figures, see the Hint.
Enter your answer in scientific notation rounded to two significant figures.
(You can use the scientific notation template under the first blue tab below.)

To calculate the surface area of an egg, we'll assume it's close enough to a sphere for the spherical surface area formula to apply. The formula for the surface area \(SA\) of a sphere is:

\[
SA = 4 \pi r^2
\]

Given:
- \(\pi = 3.14\)
- \(r\) is the radius of the egg (which is not provided directly, but we'll assume you have this information).

### Steps to Calculate:

1. **Square the radius \( r^2 \).**
2. **Multiply the result by 4.**
3. **Multiply by \(\pi\).**
4. **Express the final answer in scientific notation with two significant figures.**

Since the radius \( r \) is not given, I'll walk you through the steps using an example. Suppose the radius \( r \) of the egg is \( 50 \, \mu m \):

1. \( r^2 = (50 \, \mu m)^2 = 2500 \, \mu m^2 \)
2. Multiply by 4: \( 4 \times 2500 \, \mu m^2 = 10000 \, \mu m^2 \)
3. Multiply by \( \pi \): \( 3.14 \times 10000 \, \mu m^2 = 31400 \, \mu m^2 \)
4. Express in scientific notation: \( 3.14 \times 10^4 \, \mu m^2 \)

Finally, rounding to two significant figures:
- \( 3.1 \times 10^4 \, \mu m^2 \)

### If you have a different radius, substitute it into the formula and follow the steps outlined.

Do you want details or have any questions?

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**Related Questions:**

1. What would the surface area be if the radius were \( 100 \, \mu m \)?
2. How would the formula change if the shape was an ellipsoid?
3. Can you explain how to convert the final answer into scientific notation?
4. Why is it important to round to two significant figures?
5. What are the differences between surface area calculations for a sphere and a cylinder?
6. If the radius is given in \( mm \), how do you convert it to \( \mu m \)?
7. How does changing the value of \( \pi \) affect the surface area?
8. What would happen if the radius were doubled?

**Tip:** Always ensure the units of measurement are consistent throughout the calculation to avoid errors.

Learn how to calculate the surface area of an egg using the formula for the surface area of a sphere. This problem involves applying π as 3.14 and rounding the answer to two significant figures in scientific notation. Suitable for GCSE students.

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