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

1,436.03 cm3
1,436.03 cm cubed

179.50 cm3
179.50 cm cubed

87.92 cm3
87.92 cm cubed

205.15 cm3

Answer 1

To calculate the volume of a sphere, you can use the formula:

\[
V = \frac{4}{3} \pi r^3
\]

Where \( V \) is the volume, \( r \) is the radius, and \( \pi \) is approximately 3.14.

Given that the radius \( r \) is 7 cm, you can substitute the values into the formula:

\[
V = \frac{4}{3} \times 3.14 \times (7)^3
\]

First, calculate \( 7^3 \):

\[
7^3 = 343
\]

Now substitute this back into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 343
\]

Now calculate \( \frac{4}{3} \times 3.14 \):

\[
\frac{4}{3} \times 3.14 \approx 4.18666667 \text{ (approx)}
\]

Now multiply this by 343:

\[
V \approx 4.18666667 \times 343 \approx 1436.03333333
\]

Rounding this to the nearest hundredth gives:

\[
V \approx 1436.03 \, \text{cm}^3
\]

So the correct response is:

**1,436.03 cm³**
**1,436.03 cm cubed**