To calculate the volume \( V \) of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
Where \( r \) is the radius and \( \pi \) is approximately 3.14. Given that the radius \( r \) is 7 cm, we can substitute that into the formula:
\[ V = \frac{4}{3} \times 3.14 \times (7^3) \]
First, calculate \( 7^3 \):
\[ 7^3 = 343 \]
Now, substitute \( 343 \) back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 343 \]
Calculating \( \frac{4}{3} \times 3.14 \):
\[ = 4.18667 \quad (\text{approximately}) \]
Now, multiply by 343:
\[ V \approx 4.18667 \times 343 \approx 1436.03 \]
Finally, rounding to the nearest hundredth, we find:
\[ V \approx 1436.03 , \text{cm}^3 \]
Thus, the correct response is:
1,436.03 cm³