If the radius of a sphere is 10 cm, what is the volume in cubic cm?

The calculation of the volume of a sphere is determined using the formula ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius of the sphere. In this case, the radius is given as 10 cm.

To find the volume:

1. Substitute the radius into the formula:

[

V = \frac{4}{3} \pi (10)^3

]

2. Calculate ( 10^3 ) which is ( 1000 ):

[

V = \frac{4}{3} \pi \cdot 1000

]

3. Multiply ( 1000 ) by ( \frac{4}{3} ):

[

V = \frac{4000}{3} \pi

]

4. Now, using the approximate value of ( \pi ) (about 3.14159):

[

V \approx \frac{4000}{3} \cdot 3.14159 \approx 4188.79

]

Thus, when rounded to two decimal places, the volume of the sphere is approximately 4,