Question

Calculate the volume of the sphere using 3.14 for pi and round to the nearest tenth.

(1 point)

half of sphere is 2 cm

Answer 1

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

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

where \(r\) is the radius of the sphere.

Since you mentioned that "half of the sphere is 2 cm," it implies that the radius \(r\) of the sphere is 2 cm.

Now, we can substitute \(r\) into the volume formula:

1. Calculate \(r^3\):

\[
r^3 = 2^3 = 8
\]

2. Substitute \(r^3\) into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 8
\]

3. Calculate the volume step-by-step:

\[
V = \frac{4 \times 3.14 \times 8}{3}
\]

Calculating \(4 \times 3.14 \times 8\):

\[
4 \times 3.14 = 12.56
\]

\[
12.56 \times 8 = 100.48
\]

Now, divide by 3:

\[
V = \frac{100.48}{3} \approx 33.4933
\]

Now, round to the nearest tenth:

\[
V \approx 33.5 \text{ cm}^3
\]

Thus, the volume of the sphere is approximately \(33.5 \, \text{cm}^3\).