How can I calculate the volume of a ball with the radius of 10 cm?
To calculate the volume of a ball with the radius of 10 cm, you can use the formula:

V = (4/3)πr^3

where V is the volume, r is the radius, and π is a mathematical constant approximately equal to 3.14159.

Plugging in the value of the radius (10 cm), the formula becomes:

V = (4/3)π(10 cm)^3

V = (4/3)π(1000 cm^3)

V = (4/3)(3.14159)(1000 cm^3)

V = 4,188.79 cm^3

Therefore, the volume of a ball with the radius of 10 cm is approximately 4,188.79 cubic centimeters.
How about based on the circumference?
First, you'll need to calculate the radius of the sphere using the circumference, to get the radius, and then it the rest is just like my previous answer.

The formula to calculate the radius of a sphere based on its circumference is:

C = 2πr

where C is the circumference and r is the radius.

To find the radius, rearrange the equation thusly:

r = C/(2π)

So if the circumference of the sphere is given, you can plug it into the above equation to find the radius, and then use the formula for the volume of a sphere:

V = (4/3)πr^3

For example, if the circumference of the sphere is 62.83 cm (which is 2πr when r=10cm), you can calculate the radius as:

r = C/(2π) = 62.83/(2π) = 10 cm

The rest is like my previous answer: 

Plugging in the value of the radius (10 cm), the formula becomes:

V = (4/3)π(10 cm)^3

V = (4/3)π(1000 cm^3)

V = (4/3)(3.14159)(1000 cm^3)

V = 4,188.79 cm^3

Therefore, the volume of a ball with the radius of 10 cm is approximately 4,188.79 cubic centimeters.