Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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![**Volume of Spheres - 8th Grade Math Lesson**
**Title: Volume of Spheres**
**Grade Level: Eighth grade**
**Skill: T.14 Volume of Spheres**
**Question:** What is the volume of this sphere?
**Instructions:** Use π ≈ 3.14 and round your answer to the nearest hundredth.
**Image Description:**
The image displays a pink sphere with a radius marked as 5 meters. The question asks for the volume of the sphere to be calculated.
**Input Box:**
There is a text box labeled "cubic meters" for submitting the answer.
**Submit Button:**
A green button labeled "Submit" is available for students to submit their answers.
**Additional Resources:**
- A link labeled "Work it out"
- A note stating "Not feeling ready yet? This can help."
### Step-by-Step Solution:
To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
Where \( V \) is the volume, \( \pi \) is approximately 3.14, and \( r \) is the radius of the sphere.
Given:
- \( r = 5 \) meters
- \( \pi \approx 3.14 \)
Substitute the values into the formula:
\[ V = \frac{4}{3} \times 3.14 \times (5^3) \]
\[ V = \frac{4}{3} \times 3.14 \times 125 \]
\[ V = \frac{4}{3} \times 392.5 \]
\[ V = 523.33 \] cubic meters (rounded to the nearest hundredth)
So, the volume of the sphere is approximately \( 523.33 \) cubic meters.
Please enter "523.33" in the text box and click the "Submit" button to check your answer.](https://content.bartleby.com/qna-images/question/7b8fd9ff-c2ab-413a-9ec5-3e050813379e/cbf3ce5e-1d4c-457c-be02-9caad8b3f9bc/2wdaju_processed.jpeg)
Transcribed Image Text:**Volume of Spheres - 8th Grade Math Lesson**
**Title: Volume of Spheres**
**Grade Level: Eighth grade**
**Skill: T.14 Volume of Spheres**
**Question:** What is the volume of this sphere?
**Instructions:** Use π ≈ 3.14 and round your answer to the nearest hundredth.
**Image Description:**
The image displays a pink sphere with a radius marked as 5 meters. The question asks for the volume of the sphere to be calculated.
**Input Box:**
There is a text box labeled "cubic meters" for submitting the answer.
**Submit Button:**
A green button labeled "Submit" is available for students to submit their answers.
**Additional Resources:**
- A link labeled "Work it out"
- A note stating "Not feeling ready yet? This can help."
### Step-by-Step Solution:
To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
Where \( V \) is the volume, \( \pi \) is approximately 3.14, and \( r \) is the radius of the sphere.
Given:
- \( r = 5 \) meters
- \( \pi \approx 3.14 \)
Substitute the values into the formula:
\[ V = \frac{4}{3} \times 3.14 \times (5^3) \]
\[ V = \frac{4}{3} \times 3.14 \times 125 \]
\[ V = \frac{4}{3} \times 392.5 \]
\[ V = 523.33 \] cubic meters (rounded to the nearest hundredth)
So, the volume of the sphere is approximately \( 523.33 \) cubic meters.
Please enter "523.33" in the text box and click the "Submit" button to check your answer.
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