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)
Responses

205.15 cm3
205.15 cm cubed

1,436.03 cm3
1,436.03 cm cubed

179.50 cm3
179.50 cm cubed

87.92 cm3
87.92 cm cubed

Answer 1

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**