Question

calculate 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.

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

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

Now, substitute \( r \) into the volume formula along with \( \pi = 3.14 \):

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

Calculating \( (3.5)^3 \):

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

Now plug this value back into the volume formula:

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

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

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

Now multiply by \( 42.875 \):

\[
V \approx 4.1867 \times 42.875 \approx 179.1
\]

Therefore, rounding to the nearest tenth:

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