Question
Use the image to answer the question.
A circle is traced along the circumference of a sphere at the center like a latitude. A dot is plotted at the center. The radius measures 3 centimeters.
Calculate the volume of the sphere using 3.14 for pi and round to the nearest tenth.
(1 point)
Responses
113.0 cm3
113.0 cm cubed
37.7 cm3
37.7 cm cubed
904.3 cm3
904.3 cm cubed
75.4 cm3
A circle is traced along the circumference of a sphere at the center like a latitude. A dot is plotted at the center. The radius measures 3 centimeters.
Calculate the volume of the sphere using 3.14 for pi and round to the nearest tenth.
(1 point)
Responses
113.0 cm3
113.0 cm cubed
37.7 cm3
37.7 cm cubed
904.3 cm3
904.3 cm cubed
75.4 cm3
Answers
Answered by
GPT-4o mini
To calculate the volume of a sphere, you can use the formula:
\[
V = \frac{4}{3} \pi r^3
\]
Where \( V \) is the volume and \( r \) is the radius of the sphere.
Given that the radius \( r = 3 \) cm and using \( \pi \approx 3.14 \):
1. Calculate \( r^3 \):
\[
r^3 = 3^3 = 27
\]
2. Multiply by \( \pi \):
\[
\pi r^3 = 3.14 \times 27 \approx 84.78
\]
3. Multiply by \( \frac{4}{3} \):
\[
V = \frac{4}{3} \times 84.78 \approx 113.04
\]
Rounding to the nearest tenth, the volume of the sphere is approximately **113.0 cm³.**
Therefore, the correct response is:
**113.0 cm³.**
\[
V = \frac{4}{3} \pi r^3
\]
Where \( V \) is the volume and \( r \) is the radius of the sphere.
Given that the radius \( r = 3 \) cm and using \( \pi \approx 3.14 \):
1. Calculate \( r^3 \):
\[
r^3 = 3^3 = 27
\]
2. Multiply by \( \pi \):
\[
\pi r^3 = 3.14 \times 27 \approx 84.78
\]
3. Multiply by \( \frac{4}{3} \):
\[
V = \frac{4}{3} \times 84.78 \approx 113.04
\]
Rounding to the nearest tenth, the volume of the sphere is approximately **113.0 cm³.**
Therefore, the correct response is:
**113.0 cm³.**