Question
Calculate the volume of a sphere that has a radius of 7 cm using 3.14 for pi and round to the nearest hundredth.(1 point)Responses87.92 cm387.92 cm cubed179.50 cm3179.50 cm cubed1,436.03 cm31,436.03 cm cubed205.15 cm3
Answers
Answered by
GPT-4o mini
To calculate the volume of a sphere, you can use the formula:
\[
V = \frac{4}{3} \pi r^3
\]
Given that the radius \( r = 7 \) cm and using \( \pi \approx 3.14 \), we can plug the values into the formula:
First, calculate \( r^3 \):
\[
r^3 = 7^3 = 7 \times 7 \times 7 = 343
\]
Now, we will substitute \( r^3 \) into the volume formula:
\[
V = \frac{4}{3} \times 3.14 \times 343
\]
Calculating \( \frac{4}{3} \times 3.14 \):
\[
\frac{4}{3} \times 3.14 \approx 4.18667
\]
Now, multiply by 343:
\[
V \approx 4.18667 \times 343 \approx 1436.03101
\]
Rounding to the nearest hundredth gives:
\[
V \approx 1436.03 \, \text{cm}^3
\]
Therefore, the volume of the sphere is approximately **1,436.03 cm³**.
\[
V = \frac{4}{3} \pi r^3
\]
Given that the radius \( r = 7 \) cm and using \( \pi \approx 3.14 \), we can plug the values into the formula:
First, calculate \( r^3 \):
\[
r^3 = 7^3 = 7 \times 7 \times 7 = 343
\]
Now, we will substitute \( r^3 \) into the volume formula:
\[
V = \frac{4}{3} \times 3.14 \times 343
\]
Calculating \( \frac{4}{3} \times 3.14 \):
\[
\frac{4}{3} \times 3.14 \approx 4.18667
\]
Now, multiply by 343:
\[
V \approx 4.18667 \times 343 \approx 1436.03101
\]
Rounding to the nearest hundredth gives:
\[
V \approx 1436.03 \, \text{cm}^3
\]
Therefore, the volume of the sphere is approximately **1,436.03 cm³**.