Question

What is the volume of this sphere?
diameter is 0.8m

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

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

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

where \( V \) is the volume and \( r \) is the radius of the sphere.

First, we need to find the radius. The radius \( r \) is half of the diameter. Given that the diameter is 0.8 m, we can calculate the radius as follows:

\[
r = \frac{0.8}{2} = 0.4 \text{ m}
\]

Now we can substitute the value of \( r \) into the volume formula. Using \( \pi \approx 3.14 \):

\[
V = \frac{4}{3} \cdot 3.14 \cdot (0.4)^3
\]

Calculating \( (0.4)^3 \):

\[
(0.4)^3 = 0.064
\]

Now substituting this into the volume formula:

\[
V = \frac{4}{3} \cdot 3.14 \cdot 0.064
\]

Calculating \( \frac{4}{3} \cdot 3.14 \):

\[
\frac{4}{3} \cdot 3.14 = \frac{12.56}{3} \approx 4.1867
\]

Now, multiply this with \( 0.064 \):

\[
V \approx 4.1867 \cdot 0.064 \approx 0.2679
\]

Rounding to the nearest hundredth:

\[
V \approx 0.27 \text{ m}^3
\]

Thus, the volume of the sphere is approximately **0.27 m³**.