Question

What is the volume of the sphere using 3.14 for π and round to the nearest tenth? (2 points) Responses 6,561.2 cm3 6,561.2 cm 3 1,674.7 cm3 1,674.7 cm 3 4,186.7 cm3 4,186.7 cm 3 33,493.3 cm3 (The radius is 20cm)

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 (as given),
- \( r \) is the radius of the sphere.

Given that the radius \( r \) is 20 cm, we can plug in the values:

\[
V = \frac{4}{3} \times 3.14 \times (20^3)
\]

First, calculate \( 20^3 \):

\[
20^3 = 20 \times 20 \times 20 = 8000
\]

Now substitute \( 8000 \) into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 8000
\]

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

\[
\frac{4}{3} \times 3.14 \approx 4.1867
\]

Now multiply \( 4.1867 \) by \( 8000 \):

\[
V \approx 4.1867 \times 8000 \approx 33493.6
\]

Now round it to the nearest tenth:

\[
V \approx 33493.6 \, \text{cm}^3
\]

Thus, the volume of the sphere is **33,493.3 cm³**.