Question
What is the volume of the sphere using 3.14 for pi and rounded to the nearest tenth? (1 point) Responses 4,188.8 ft.3 4,188.8 ft. cubed 523.3 ft.3 523.3 ft. cubed 62.8 ft.3 62.8 ft. cubed 104.7 ft.3
Answers
GPT-4o mini
The volume \( V \) of a sphere can be calculated using the formula:
\[
V = \frac{4}{3} \pi r^3
\]
To find the appropriate response, we will need to know the radius \( r \) of the sphere. However, assuming there is a standard radius typically used in problem examples, let's calculate the volume of a sphere with a radius of 10 ft as an example.
1. Substitute \( \pi = 3.14 \) and \( r = 10 \) into the formula:
\[
V = \frac{4}{3} \times 3.14 \times (10)^3
\]
2. Calculate \( 10^3 \):
\[
10^3 = 1000
\]
3. Now substitute it back in:
\[
V = \frac{4}{3} \times 3.14 \times 1000
\]
4. Calculate \( 4/3 \times 1000 \):
\[
\frac{4}{3} \times 1000 \approx 1333.33
\]
5. Now calculate \( 1333.33 \times 3.14 \):
\[
V \approx 1333.33 \times 3.14 \approx 4186.67
\]
Rounded to the nearest tenth:
\[
V \approx 4186.7 \text{ ft}^3
\]
Since this is close to the provided option of \( 4,188.8 \) ft³ (assuming this option refers to a radius slightly different), it seems one of the provided answers must be correct.
If you have a specific radius in mind for another calculation, please provide that, and I will redo the calculation for that radius. From the given options, the answer would most likely be:
**4,188.8 ft.³**
\[
V = \frac{4}{3} \pi r^3
\]
To find the appropriate response, we will need to know the radius \( r \) of the sphere. However, assuming there is a standard radius typically used in problem examples, let's calculate the volume of a sphere with a radius of 10 ft as an example.
1. Substitute \( \pi = 3.14 \) and \( r = 10 \) into the formula:
\[
V = \frac{4}{3} \times 3.14 \times (10)^3
\]
2. Calculate \( 10^3 \):
\[
10^3 = 1000
\]
3. Now substitute it back in:
\[
V = \frac{4}{3} \times 3.14 \times 1000
\]
4. Calculate \( 4/3 \times 1000 \):
\[
\frac{4}{3} \times 1000 \approx 1333.33
\]
5. Now calculate \( 1333.33 \times 3.14 \):
\[
V \approx 1333.33 \times 3.14 \approx 4186.67
\]
Rounded to the nearest tenth:
\[
V \approx 4186.7 \text{ ft}^3
\]
Since this is close to the provided option of \( 4,188.8 \) ft³ (assuming this option refers to a radius slightly different), it seems one of the provided answers must be correct.
If you have a specific radius in mind for another calculation, please provide that, and I will redo the calculation for that radius. From the given options, the answer would most likely be:
**4,188.8 ft.³**