Question

alculate the volume of a sphere that has a diameter of 7 inches. Use 3.14 for π and round your answer to the nearest tenth.

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. The radius is half of the diameter.

Given that the diameter is 7 inches, the radius \( r \) is:

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

Now, plug the radius into the volume formula:

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

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

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

Now calculate \( V \):

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

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

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

Now multiply this by \( 42.875 \):

\[
V \approx 4.18667 \times 42.875 \approx 179.0909
\]

Rounding to the nearest tenth, the volume of the sphere is:

\[
\boxed{179.1} \text{ cubic inches}
\]