Question

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

(1 point)
cm3

sphere 2 cm half way

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

Given that the diameter of the sphere is 2 cm, the radius \( r \) would be:

\[
r = \frac{\text{diameter}}{2} = \frac{2 \text{ cm}}{2} = 1 \text{ cm}
\]

Now, substituting the radius into the volume formula and using \( \pi \approx 3.14 \):

\[
V = \frac{4}{3} \times 3.14 \times (1 \text{ cm})^3
\]

Calculating \( (1 \text{ cm})^3 \):

\[
(1 \text{ cm})^3 = 1 \text{ cm}^3
\]

Now we can calculate the volume:

\[
V = \frac{4}{3} \times 3.14 \times 1 \text{ cm}^3
\]

\[
V = \frac{4 \times 3.14}{3} \text{ cm}^3
\]

\[
V = \frac{12.56}{3} \text{ cm}^3
\]

\[
V \approx 4.1866667 \text{ cm}^3
\]

Rounding to the nearest tenth:

\[
V \approx 4.2 \text{ cm}^3
\]

So, the volume of the sphere is approximately **4.2 cm³**.