the diameter of a ball is 6in what is the volume

1 answer

To find the volume of a sphere (which is the shape of a ball), 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 the diameter of the ball is 6 inches, the radius \( r \) will be:

\[ r = \frac{6}{2} = 3 \text{ inches} \]

Now, substitute the radius into the volume formula:

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

Calculating \( (3)^3 \):

\[ (3)^3 = 27 \]

Now plug that back into the equation:

\[ V = \frac{4}{3} \pi (27) \]

\[ V = 36\pi \]

Using \( \pi \approx 3.14 \) for an approximate value:

\[ V \approx 36 \times 3.14 \approx 113.04 \text{ cubic inches} \]

Therefore, the volume of the ball is approximately \( 113.04 \) cubic inches.