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

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'll need to find the radius. The radius is half of the diameter. Given that the diameter is 7 inches, the radius \( r \) will be:

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

Now, substitute the radius into the volume formula:

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

Calculating \( (3.5)^3 \):

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

Now, substitute this back into the volume formula:

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

Multiplying \( \frac{4}{3} \) by \( 3.14 \):

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

Now, multiply that by \( 42.875 \):

\[
V \approx 4.1867 \times 42.875 \approx 179.4
\]

Thus, the volume of the sphere is approximately:

\[
\boxed{179.4} \text{ cubic inches}
\]