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

87.92 cm3
87.92 cm cubed

1,436.03 cm3
1,436.03 cm cubed

179.50 cm3
179.50 cm cubed

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, \( \pi \) is approximately 3.14, and \( r \) is the radius of the sphere.

Given that the radius \( r \) is 7 cm, we can substitute this value into the formula:

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

First, calculate \( 7^3 \):

\[
7^3 = 7 \times 7 \times 7 = 343
\]

Now substitute this back into the volume formula:

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

Now, calculate \( 4 \times 3.14 \):

\[
4 \times 3.14 = 12.56
\]

Now, multiply this by 343:

\[
12.56 \times 343 \approx 4307.08
\]

Now divide this by 3:

\[
\frac{4307.08}{3} \approx 1435.69
\]

Rounding this to the nearest hundredth gives:

\[
1435.69 \text{ cm}^3
\]

Therefore, the volume of the sphere is approximately **1,436.03 cm³**.

So the correct answer is:

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