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

87.92 cm3
87.92 cm cubed

179.50 cm3
179.50 cm cubed

1,436.03 cm3
1,436.03 cm cubed

205.15 cm3

Answer 1

To calculate the volume \( V \) of a sphere, we use the formula:

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

where \( r \) is the radius.

Given that the radius \( r = 7 \) cm and we use \( \pi \approx 3.14 \):

1. Calculate \( r^3 \):
\[
r^3 = 7^3 = 343
\]

2. Substitute into the volume formula:
\[
V = \frac{4}{3} \times 3.14 \times 343
\]

3. Calculate \( \frac{4}{3} \times 3.14 \):
\[
\frac{4 \times 3.14}{3} \approx \frac{12.56}{3} \approx 4.1867
\]

4. Now multiply by \( 343 \):
\[
V \approx 4.1867 \times 343 \approx 1436.03
\]

Rounding to the nearest hundredth, the volume of the sphere is approximately \( 1436.03 \, \text{cm}^3 \).

The correct response is:

**1,436.03 cm³**