What is the volume of this sphere? Use n 3.14 and round your answer to the nearest hundredth. 5 m cubic meters

Mathematics For Machine Technology
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Chapter62: Volumes Of Prisms And Cylinders
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**Learning Volume of Spheres** - 8th Grade Math

### IXL - Volume of Spheres

**Mathematics Section**

#### What is the volume of this sphere?

* Use π ≈ 3.14 and round your answer to the nearest hundredth.

**Diagram:**

- The image features a sphere with a radius of 5 meters. The radius is indicated by a horizontal dotted line from the center to the surface of the sphere, labeled "5 m".

##### Input Box:
- cubic meters

There's a text box where students can enter their calculated volume of the sphere answer.

##### Submit Button:
- A green button labeled "Submit" is present below the input box for students to submit their answers.

---

**Explanation:**

To find the volume of a sphere, you can use the formula:

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

Where:
- \( \pi \) (Pi) is approximately 3.14.
- \( r \) is the radius of the sphere, which is given as 5 meters in this example.

By substituting the given values into the formula, you can calculate the volume of the sphere.

---

**Steps:**

1. **Calculate the radius cubed**:
   \[ r^3 = 5^3 = 125 \]

2. **Multiply by \(\pi\)**:
   \[ 125 \times 3.14 = 392.5 \]

3. **Multiply by \(\frac{4}{3}\)**:
   \[ \text{Volume} = \frac{4}{3} \times 392.5 \approx 523.33 \]

4. **Round to the nearest hundredth** if necessary (already rounded in this case). 

The answer to be entered in the box would be approximately 523.33 cubic meters.

---
Transcribed Image Text:--- **Learning Volume of Spheres** - 8th Grade Math ### IXL - Volume of Spheres **Mathematics Section** #### What is the volume of this sphere? * Use π ≈ 3.14 and round your answer to the nearest hundredth. **Diagram:** - The image features a sphere with a radius of 5 meters. The radius is indicated by a horizontal dotted line from the center to the surface of the sphere, labeled "5 m". ##### Input Box: - cubic meters There's a text box where students can enter their calculated volume of the sphere answer. ##### Submit Button: - A green button labeled "Submit" is present below the input box for students to submit their answers. --- **Explanation:** To find the volume of a sphere, you can use the formula: \[ \text{Volume} = \frac{4}{3} \pi r^3 \] Where: - \( \pi \) (Pi) is approximately 3.14. - \( r \) is the radius of the sphere, which is given as 5 meters in this example. By substituting the given values into the formula, you can calculate the volume of the sphere. --- **Steps:** 1. **Calculate the radius cubed**: \[ r^3 = 5^3 = 125 \] 2. **Multiply by \(\pi\)**: \[ 125 \times 3.14 = 392.5 \] 3. **Multiply by \(\frac{4}{3}\)**: \[ \text{Volume} = \frac{4}{3} \times 392.5 \approx 523.33 \] 4. **Round to the nearest hundredth** if necessary (already rounded in this case). The answer to be entered in the box would be approximately 523.33 cubic meters. ---
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