Question

Calculate the volume of a sphere that has a diameter of 7 inches. Use 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. The radius is half of the diameter:

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

Now, substitute the radius into the volume formula:

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

Calculate \( (3.5)^3 \):

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

Now substitute this value back into the volume formula:

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

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

\[
\frac{4}{3} \times 3.14 \approx 4.1866667
\]

Now multiply this result by 42.875:

\[
V \approx 4.1866667 \times 42.875 \approx 179.515
\]

Now, round to the nearest tenth:

\[
V \approx 179.5 \text{ inches}^3
\]

Thus, the volume of the sphere is approximately **179.5 inches³**.