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)

Answer 1

To calculate the volume of a sphere, you use the formula:

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

First, we need to find the radius (r) of the sphere. The radius is half of the diameter:

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

Now, we can substitute the radius into the volume formula. We will use \(\pi \approx 3.14\):

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

Calculating \( (3.5)^3 \):

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

Now, substitute that value back into the volume formula:

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

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

\[
\frac{4}{3} \times 3.14 \approx 4.18667
\]

Now multiply that by \( 42.875 \):

\[
V \approx 4.18667 \times 42.875 \approx 179.594
\]

Finally, rounding to the nearest tenth:

\[
V \approx 179.6
\]

Thus, the volume of the sphere is approximately **179.6 cubic inches**.