Question

Question
Calculate the volume of a sphere that has a diameter of 7 inches. Calculate your answer using 3.14 for pi and round to the nearest tenth.(1 point)
inches3

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.

First, we need to find the radius from the diameter. The diameter of the sphere is 7 inches, so the radius \( r \) is:

\[
r = \frac{\text{diameter}}{2} = \frac{7}{2} = 3.5 \text{ inches}
\]

Now we can substitute \( r = 3.5 \) into the volume formula. Using \( \pi = 3.14 \):

\[
V = \frac{4}{3} \times 3.14 \times (3.5)^3
\]

First, we calculate \( (3.5)^3 \):

\[
(3.5)^3 = 3.5 \times 3.5 \times 3.5 = 42.875
\]

Now, substitute this back into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 42.875
\]

Calculating \( 3.14 \times 42.875 \):

\[
3.14 \times 42.875 \approx 134.88475
\]

Now multiply by \( \frac{4}{3} \):

\[
V = \frac{4}{3} \times 134.88475 \approx 179.84633
\]

Finally, round this to the nearest tenth:

\[
V \approx 179.8 \text{ inches}^3
\]

So, the volume of the sphere is approximately \( \boxed{179.8} \) inches³.