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)
inches?

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, so:

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

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

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

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

\[
(3.5)^3 = 3.5 \times 3.5 \times 3.5 = 12.25 \times 3.5 = 42.875
\]

Now, substitute \( 42.875 \) back into the volume formula:

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

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

\[
\frac{4}{3} \times 3.14 \approx 4.1867
\]

Now multiply that by \( 42.875 \):

\[
V \approx 4.1867 \times 42.875 \approx 179.1904
\]

Finally, rounding to the nearest tenth gives:

\[
V \approx 179.2 \text{ cubic inches}
\]

So the volume of the sphere is approximately **179.2 cubic inches**.