Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...
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What’s the answers because i don’t get this
![---
**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.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b8fd9ff-c2ab-413a-9ec5-3e050813379e%2Ff5811ac5-5d37-45c8-a303-73648aa9cb72%2Fjkmjvjy_processed.jpeg&w=3840&q=75)
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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