Calculate the volume of the egg (in  μ
 m3).

The formula for calculating the volume (V) of a sphere is given below.
V = 4/3 π
 r3
Use 3.14 as the value for  π
 

To calculate the volume of an egg (approximated as a sphere), we use the formula for the volume \( V \) of a sphere:

\[
V = \frac{4}{3} \pi r^3
\]

Given:
- \(\pi = 3.14\)
- \(r\) is the radius of the egg.

### Steps to Calculate:

1. **Cube the radius \( r^3 \).**
2. **Multiply the result by \(\pi\).**
3. **Multiply by \(\frac{4}{3}\).**

Let's go through an example calculation with a given radius. Suppose the radius \( r \) of the egg is \( 50 \, \mu m \):

1. **Cube the radius:**
   \[
   r^3 = (50 \, \mu m)^3 = 50 \times 50 \times 50 = 125000 \, \mu m^3
   \]

2. **Multiply by \(\pi\):**
   \[
   \pi r^3 = 3.14 \times 125000 \, \mu m^3 = 392500 \, \mu m^3
   \]

3. **Multiply by \(\frac{4}{3}\):**
   \[
   V = \frac{4}{3} \times 392500 \, \mu m^3 = \frac{1570000}{3} \, \mu m^3 = 523333.33 \, \mu m^3
   \]

### Final Answer in Scientific Notation:

\[
V \approx 5.2 \times 10^5 \, \mu m^3
\]

If the radius is different, substitute the value into the steps above.

Do you want details or have any questions?

---

**Related Questions:**

1. How would the volume change if the radius were \( 100 \, \mu m \)?
2. Can you explain how to convert the final volume into different units, such as \( mm^3 \)?
3. What is the significance of using \(\frac{4}{3}\) in the volume formula?
4. How would the volume calculation differ if the shape were an ellipsoid?
5. How does the volume of a sphere relate to its surface area?
6. What are some real-life applications of calculating the volume of spherical objects?
7. How does the precision of \(\pi\) affect the accuracy of the volume calculation?
8. What happens to the volume if the radius of the sphere is doubled?

**Tip:** When working with exponents, remember that \( r^3 \) means multiplying \( r \) by itself three times.

Learn how to calculate the volume of an egg, approximated as a sphere, using the formula V = (4/3)πr³. Detailed steps include cubing the radius, multiplying by π, and adjusting by (4/3). Example calculation provided with a radius of 50 μm.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation