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 2 centimeters.
Calculate the volume of the sphere using 3.14 for pi and round to the nearest tenth.
(1 point)
cm3
Remaining Attempts : 3
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 2 centimeters.
Calculate the volume of the sphere using 3.14 for pi and round to the nearest tenth.
(1 point)
cm3
Remaining Attempts : 3
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, \( \pi \) is approximately 3.14, and \( r \) is the radius of the sphere.
Given that the radius \( r = 2 \) cm, we can substitute it into the formula:
\[
V = \frac{4}{3} \times 3.14 \times (2)^3
\]
Calculating \( (2)^3 \):
\[
(2)^3 = 8
\]
Now substituting this back into the formula:
\[
V = \frac{4}{3} \times 3.14 \times 8
\]
Calculating \( \frac{4}{3} \times 8 \):
\[
\frac{4}{3} \times 8 = \frac{32}{3} \approx 10.67
\]
Now multiply by \( 3.14 \):
\[
V \approx 10.67 \times 3.14 \approx 33.4788
\]
Rounding to the nearest tenth:
\[
V \approx 33.5 \text{ cm}^3
\]
Thus, the volume of the sphere is **33.5 cm³**.
\[
V = \frac{4}{3} \pi r^3
\]
where \( V \) is the volume, \( \pi \) is approximately 3.14, and \( r \) is the radius of the sphere.
Given that the radius \( r = 2 \) cm, we can substitute it into the formula:
\[
V = \frac{4}{3} \times 3.14 \times (2)^3
\]
Calculating \( (2)^3 \):
\[
(2)^3 = 8
\]
Now substituting this back into the formula:
\[
V = \frac{4}{3} \times 3.14 \times 8
\]
Calculating \( \frac{4}{3} \times 8 \):
\[
\frac{4}{3} \times 8 = \frac{32}{3} \approx 10.67
\]
Now multiply by \( 3.14 \):
\[
V \approx 10.67 \times 3.14 \approx 33.4788
\]
Rounding to the nearest tenth:
\[
V \approx 33.5 \text{ cm}^3
\]
Thus, the volume of the sphere is **33.5 cm³**.